Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity con...
Saved in:
Main Authors: | Alexandre Almeida, Stefan Samko |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2006-01-01
|
Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2006/610535 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Singular integrals and potentials in some Banach function spaces with variable exponent
by: Vakhtang Kokilashvili, et al.
Published: (2003-01-01) -
Characterization of Lipschitz Spaces via Commutators of Fractional Maximal Function on the $p$-Adic Variable Exponent Lebesgue Spaces
by: Wu, Jianglong, et al.
Published: (2024-03-01) -
On small Lebesgue spaces
by: Claudia Capone, et al.
Published: (2005-01-01) -
The maximal operator in weighted variable spaces Lp(⋅)
by: Vakhtang Kokilashvili, et al.
Published: (2007-01-01) -
Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces
by: Hui-Ling Wu, et al.
Published: (2013-01-01)