Yazar "Omarova, Mehriban N." seçeneğine göre listele
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Öğe Characterizations for the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces(Azerbaijan Mathematical Society, 2017) Eroglu, A.; Guliyev, V.S.; Omarova, Mehriban N.We show continuity in generalized Orlicz-Morrey spaces M??(?n +) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness of the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces M??(?n +). © 2010 AZJM All rights reserved.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.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.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.
