Zobrazeno 1 - 10
of 136
pro vyhledávání: '"Alexander Meskhi"'
Publikováno v:
Electronic Research Archive, Vol 32, Iss 1, Pp 551-564 (2024)
Rubio de Francia's extrapolation in generalized grand Morrey spaces is derived. This result is applied to the investigation of the regularity of solutions for the second order partial differential equations with discontinuous coefficients in the fram
Externí odkaz:
https://doaj.org/article/2c13f654a09342af8ac129adaa22550e
Autor:
Alexander Meskhi
Publikováno v:
Journal of Function Spaces and Applications, Vol 3, Iss 3, Pp 223-237 (2005)
Necessary and sufficient conditions on a pair of weights guaranteeing two-weight estimates for the multiple Riemann-Liouville transforms are established provided that the weight on the right-hand side satisfies some additional conditions.
Externí odkaz:
https://doaj.org/article/cf280d9001854e2fa1149201652ea458
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:
Alexander Meskhi
Publikováno v:
Journal of Function Spaces and Applications, Vol 1, Iss 1, Pp 35-43 (2003)
It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below. Analogous pro
Externí odkaz:
https://doaj.org/article/5fd5808f78684b9cb1dc488b942ecb4d
Autor:
Alexander Meskhi, Ghulam Murtaza
Publikováno v:
Journal of Function Spaces and Applications, Vol 2012 (2012)
Necessary and sufficient conditions on weight pairs guaranteeing the two-weight inequalities for the potential operators (Iαf)(x)=∫0∞(f(t)/|x−t|1−α)dt and (ℐα1,α2f)(x,y)=∫0∞∫0∞(f(t,τ)/|x−t|1−α1|y−τ|1−α2)dtdτ on the
Externí odkaz:
https://doaj.org/article/72774338e37448f7a65b18dd10660a00
Publikováno v:
Journal of Inequalities and Applications, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/152f10f9bcd54b30ae47aa63018a7255
Autor:
Alexander Meskhi, Muhammad Asif
Publikováno v:
Journal of Inequalities and Applications, Vol 2008 (2008)
A measure of noncompactness (essential norm) for maximal functions and potential operators defined on homogeneous groups is estimated in terms of weights. Similar problem for partial sums of the Fourier series is studied. In some cases, we conclude t
Externí odkaz:
https://doaj.org/article/edb790bba567435f95a3a0b353c53c50
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
In the paper two-weighted norm estimates with general weights for Hardy-type transforms, maximal functions, potentials and Calder\'on-Zygmund singular integrals in variable exponent Lebesgue spaces defined on quasimetric measure spaces $(X, d, \mu)$
Externí odkaz:
http://arxiv.org/abs/1007.1351
Publikováno v:
Mediterranean Journal of Mathematics. 20