Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Vakhtang Kokilashvili"'
Publikováno v:
Journal of Function Spaces and Applications, Vol 9, Iss 3, Pp 217-244 (2011)
I. Vekua’s integral representations of holomorphic functions, whose m-th derivative (m≥0) is Hӧlder-continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m-th derivative is representable by a C
Externí odkaz:
https://doaj.org/article/87c1c680eb8a47a78c0725fb6fc8eafd
Publikováno v:
Journal of Function Spaces and Applications, Vol 8, Iss 1, Pp 67-86 (2010)
We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best app
Externí odkaz:
https://doaj.org/article/b30eb45a5b2c4e2e90066d850f202e34
Publikováno v:
Journal of Function Spaces and Applications, Vol 5, Iss 3, Pp 299-317 (2007)
We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muc
Externí odkaz:
https://doaj.org/article/80016af2be9043e19bc51338297905b9
Publikováno v:
Journal of Function Spaces and Applications, Vol 2, Iss 1, Pp 55-69 (2004)
A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces. As a corollary a criterion for a two-weighted inequality in
Externí odkaz:
https://doaj.org/article/939394bc13334b8fb88ade754b741014
Autor:
Vakhtang Kokilashvili, Stefan Samko
Publikováno v:
Journal of Function Spaces and Applications, Vol 1, Iss 1, Pp 45-59 (2003)
We introduce a new Banach function space - a Lorentz type space with variable exponent. In this space the boundedness of singular integral and potential type operators is established, including the weighted case. The variable exponent p(t) is assumed
Externí odkaz:
https://doaj.org/article/f9c828c708664068961c587baf34b3c9
Publikováno v:
Journal of Inequalities and Applications, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/152f10f9bcd54b30ae47aa63018a7255
The book may be considered as a systematic and detailed analysis of a wide class of integral transforms with product kernels from the two-weighted boundedness point of view. The considered product kernels cover that case when factors of kernels have
Publikováno v:
Mediterranean Journal of Mathematics. 20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7861412ea0b0bd82d8b0193f761afd94
https://doi.org/10.1007/s00009-023-02267-8
https://doi.org/10.1007/s00009-023-02267-8
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 312:194-206
We obtain boundedness criteria in terms of Muckenhoupt weights for the Hardy–Littlewood maximal operator and Riesz transforms in weighted grand Morrey spaces $$M^{p),q,\varphi}_w$$ . We also consider some structural properties of the spaces $$M^{p)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cf339ee94acd3d8afe310e84b2753f4
https://doi.org/10.1134/s0081543821010119
https://doi.org/10.1134/s0081543821010119
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 312:203-215
Получены критерии ограниченности максимального оператора Харди-Литтлвуда и преобразований Рисса в весовых гранд-пространствах Морри $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b5f01d1e886f9341772641e5fa3a8d0
https://doi.org/10.4213/tm4134
https://doi.org/10.4213/tm4134