Yazar "Eroglu, Ahmet" seçeneğine göre listele

Listeleniyor 1 - 18 / 18
  • Küçük Resim Yok
    Öğe
    A note of the fractional integral operators in generalized morrey spaces on the heisenberg group
    (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2017) Eroglu, Ahmet; Azizov, Javanshir V.
    We shall give a characterization for the strong and weak type boundedness of the fractional integral operator I? on Heisenberg group ?n in the generalized Morrey spaces Mp,?(?n). © 2017, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
  • Küçük Resim Yok
    Öğe
    A study of a class of p-type equations
    (Univ Nis, Fac Sci Math, 2024) M.Najafov, Alik; Eroglu, Ahmet; Gadimova, L. Sh.
    In this paper, we give known embedding theorems in Sobolev spaces and Sobolev-Morrey spaces with dominant mixed derivatives. And as an application of the embedding theorems we study the problem of existence, uniqueness and smoothness of solutions of p -type equation.
  • Küçük Resim Yok
    Öğe
    BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON GENERALIZED MORREY SPACES
    (Inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2012) Eroglu, Ahmet; Alizadeh, Farida Ch.
    Let M-Omega,M-alpha, a and I-Omega,I-alpha, a be the fractional maximal and fractional integral operators with rough kernels, where 0 < alpha < n. In this paper, we shall study the continuity properties of M-Omega,M-alpha, a and I-Omega,I-alpha, a on the generalized Morrey spaces M-p,M-phi. The boundedness of their commutators with BMO functions is also obtained.
  • Küçük Resim Yok
    Öğe
    Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces
    (SPRINGEROPEN, 2013) Eroglu, Ahmet
    In this paper, it is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on generalized Morrey spaces M-rho,M-phi. The corresponding commutators generated by BMO functions are also considered.
  • Küçük Resim Yok
    Öğe
    Characterization of parabolic fractional integral and its commutators in parabolic generalized Orlicz-Morrey spaces
    (Azerbaijan Mathematical Society, 2019) Eroglu, Ahmet; Abasova, Gulnara A.; Guliyev, Vagif S.
    In this paper, we give necessary and sufficient condition for the Adams type boundedness of parabolic fractional integral and its commutators in parabolic generalized Orlicz-Morrey spaces. © 2010 AZJM.
  • Küçük Resim Yok
    Öğe
    Characterization of parabolic fractional maximal function and its commutators in orlicz spaces
    (Springer New York LLC, 2019) Guliyev, Vagif S.; Eroglu, Ahmet; Abasova, Gulnara A.
    In this paper, we give a necessary and sufficient condition for the boundedness of the parabolic fractional maximal operator and its commutators in Orlicz spaces. © Springer Nature Switzerland AG 2019.
  • Küçük Resim Yok
    Öğe
    Characterizations for the fractional maximal operators on Carleson curves in local generalized Morrey spaces
    (Tbilisi Centre Math Sci, 2020) Armutcu, Hatice; Eroglu, Ahmet; Isayev, Fatai
    In this paper we study the fractional maximal operator M-alpha in the local generalized Morrey space LMp,phi{to}(Gamma) and the generalized Morrey space M-p,M-phi(Gamma) defined on Carleson curves Gamma, respectively. For the operator M-alpha we shall give a characterization the strong and weak Spanne-Guliyev type boundedness on LMp,phi{to} (Gamma) and the strong and weak Adams-Guliyev type boundedness on M-p,M-phi(Gamma).
  • Küçük Resim Yok
    Öğe
    Elliptic equations with measurable coefficients in generalized weighted morrey spaces
    (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2017) Eroglu, Ahmet; Omarova, Mehriban N.; Muradova, Shemsiyye A.
    We obtain a global generalized weighted Morrey Mwp,? estimate for the gradient of the weak solutions to divergence form elliptic equations with measurable coefficients in a nonsmooth bounded domain. The coefficients are assumed to be merely measurable in one variable and to have small BMO semi-norms in the remaining variables, while the boundary of the domain is supposed to be Reifenberg flat, which goes beyond the category of domains with Lipschitz continuous boundaries. As consequence of the main result, we derive global gradient estimate for the weak solution in the framework of the generalized weighted Morrey spaces. © 2017, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
  • Küçük Resim Yok
    Öğe
    ELLIPTIC EQUATIONS WITH MEASURABLE COEFFICIENTS IN GENERALIZED WEIGHTED MORREY SPACES
    (Inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2017) Eroglu, Ahmet; Omarova, Mehriban N.; Muradova, Shemsiyye A.
    We obtain a global generalized weighted Morrey M-w(p,)phi estimate for the gradient of the weak solutions to divergence form elliptic equations with measurable coefficients in a nonsmooth bounded domain. The coefficients are assumed to be merely measurable in one variable and to have small BMO semi-norms in the remaining variables, while the boundary of the domain is supposed to be Reifenberg flat, which goes beyond the category of domains with Lipschitz continuous boundaries. As consequence of the main result, we derive global gradient estimate for the weak solution in the framework of the generalized weighted Morrey spaces.
  • Küçük Resim Yok
    Öğe
    Fractional maximal operator and its commutators in generalized morrey spaces on Heisenberg group
    (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2018) Eroglu, Ahmet; Azizov, Javanshir V.; Guliyev, Vagif S.
    In this paper we study the boundedness of the fractional maximal operator M ? on Heisenberg group H n in the generalized Morrey spaces M p,? (H n ). We shall give a characterization for the strong and weak type Spanne and Adams type boundedness of M ? on the generalized Morrey spaces, respectively. Also we give a characterization for the Spanne and Adams type boundedness of fractional maximal commutator operator M b,? on the generalized Morrey spaces. © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
  • Küçük Resim Yok
    Öğe
    FRACTIONAL MAXIMAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED MORREY SPACES ON HEISENBERG GROUP
    (Inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2018) Eroglu, Ahmet; Azizov, Javanshir, V; Guliyev, Vagif S.
    In this paper we study the boundedness of the fractional maximal operator M-alpha on Heisenberg group H-n in the generalized Morrey spaces M-p,(phi)(H-n). We shall give a characterization for the strong and weak type Spanne and Adams type boundedness of M-alpha on the generalized Morrey spaces, respectively. Also we give a characterization for the Spanne and Adams type boundedness of fractional maximal commutator operator M(b,alpha )on the generalized Morrey spaces.
  • Küçük Resim Yok
    Öğe
    Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces
    (HINDAWI PUBLISHING CORPORATION, 2010) Guliyev, Emin; Eroglu, Ahmet; Mammadov, Yagub
    We consider the generalized shift operator, associated with the Dunkl operator Lambda(alpha)(f)(x) = (d/dx)f(x) + ((2 alpha + 1)/x)((f(x) - f(-x))/2), alpha > -1/2. We study the boundedness of the Dunkltype fractional maximal operator M(beta) in the Dunkl-type Morrey space L(p,lambda,alpha)(R), 0 <= lambda < 2 alpha + 2. We obtain necessary and sufficient conditions on the parameters for the boundedness M(beta), 0 <= beta < 2 alpha + 2 from the spaces L(p,lambda,alpha)(R) to the spaces L(q,lambda,alpha)(R), 1 < p <= q < infinity, and from the spaces L(1,lambda,alpha)(R) to the weak spaces WL(q,lambda,alpha)(R), 1 < q < infinity. As an application of this result, we get the boundedness of M beta from the Dunkl-type Besov-Morrey spaces Bp theta,lambda,alpha s(R) to the spaces Bq theta,lambda,alpha s(R), 1 < p <= q < infinity, 0 <= lambda < 2 alpha + 2, 1/p - 1/q = beta/(2 alpha + 2 - lambda), 1 <= theta <= infinity, and 0 < s < 1.
  • Küçük Resim Yok
    Öğe
    ON SOME DIFFERENTIAL PROPERTIES OF FUNCTIONS IN GENERALIZED GRAND SOBOLEV-MORREY SPACES
    (Ankara Univ, Fac Sci, 2023) Najafov, Alik M.; Eroglu, Ahmet; Mustafayeva, Firide
    In this paper we introduce a generalized grand Sob olev-Morrey spaces. Some differential and differential-difference properties of functions from this spaces are proved by means of the integral representation.
  • Küçük Resim Yok
    Öğe
    ON SOME EMBEDDING THEOREMS IN GRAND NIKOLSKII-MORREY SPACES WITH DOMINANT MIXED DERIVATIVES
    (Ivane Javakhishvili Tbilisi State Univ, 2023) Najafov, Alik M.; Eroglu, Ahmet; Mustafayeva, Firide F.
    In this paper, we introduce grand Nikolskii-Morrey spaces with dominant mixed deriva-tives and, using the method of integral representation, we study some differential properties of functions from these spaces.
  • Küçük Resim Yok
    Öğe
    ON SOME EMBEDDING THEOREMS IN GRAND NIKOLSKII–MORREY SPACES WITH DOMINANT MIXED DERIVATIVES
    (A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University, 2023) Najafov, Alik M.; Eroglu, Ahmet; Mustafayeva, Firide F.
    In this paper, we introduce grand Nikolskii–Morrey spaces with dominant mixed derivatives and, using the method of integral representation, we study some differential properties of functions from these spaces. © 2023 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved.
  • Küçük Resim Yok
    Öğe
    (P; q)-admissible multilinear fractional integral operators and their commutators in product generalized local morrey spaces
    (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2016) Eroglu, Ahmet; Hasanov, Amil A.; Omarova, Mehriban N.
    In this paper we prove the boundedness of the (p; q)-admissible multi-sublinear fractional integral operators T?,m from product generalized local Morrey space LM{x0} p1;?1×.. ×LM{x0} pm,?,m to LM{x0} p,?; We find the sufficient conditions on (?1;… ?m; ?) which ensures the boundedness of the commutators of (p; q)-admissible multilinear fractional integral operators Tb? ?;m from LM{x0} p1;?1×.. ×LM{x0} pm,?,m to LM{x0} p,?. In all cases the conditions for the boundedness of T?;m are given in terms of Zygmundtype integral inequalities on (?1; … ?m; ?), which do not require any assumption on monotonicity of ?1; … ?m; ? in r. © 2016, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All Rights Reserved.
  • Küçük Resim Yok
    Öğe
    POTENTIAL OPERATORS ON CARLESON CURVES IN MORREY SPACES
    (Ankara Univ, Fac Sci, 2018) Eroglu, Ahmet; Dadashova, Irada B.
    In this paper we study the potential operator I-alpha in the Morrey space L-p,L-lambda and the spaces BMO de.ned on Carleson curves Gamma. We prove that for 0 < alpha < 1, I-alpha is bounded from the Morrey space L-p,L-lambda( Gamma) to L-q,L-lambda(Gamma) on simple Carleson curves if (and only if in the infinite simple Carleson curve 1/p - 1/q = alpha/(1 - lambda), 1 < p < (1 - lambda)/alpha, and from the spaces L-1,L-lambda(Gamma) to WLq,lambda(Gamma) (and only if in the in.nite case) 1 - 1/q = alpha/1-lambda.
  • Küçük Resim Yok
    Öğe
    Two weighted inequalities for B-fractional integrals
    (SPRINGER INTERNATIONAL PUBLISHING AG, 2016) Eroglu, Ahmet; Hajibayov, Mubariz G.; Serbetci, Ayhan
    In this paper we prove a two weighted inequality for Riesz potentials I-alpha,I-gamma f (B-fractional integrals) associated with the Laplace-Bessel differential operator Delta(B)= Sigma(n)(i=1) partial derivative(2)/partial derivative x(i)(2) + Sigma(k)(j=1) gamma(j)/x(j) partial derivative/partial derivative xj. This result is an analog of Heinig's result (Indiana Univ. Math. J. 33(4):573-582, 1984) for the B-fractional integral. Further, the Stein-Weiss inequality for B-fractional integrals is proved as an application of this result.