Environmental Science and Pollution Research.
Springer Science + Business Media.
Vol. 27.
2020.
P. 34348-34356
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent
Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and sufficient conditions for the corresponding modular inequalities to hold. One big achievement is that the weights with exponential growth can be handled in the framework of variable exponents. © 2020
Authors
Izuki M.1
,
Nogayama T.2
,
Noi T.2
,
Sawano Y.
3,
4
Publisher
Elsevier Ltd
Language
English
Status
Published
Link
Number
111930
Volume
198
Year
2020
Organizations
- 1 Faculty of Liberal Arts and Sciences, Tokyo City University, 1-28-1, Tamadutsumi Setagaya-ku, Tokyo, 158-8557, Japan
- 2 Department of Mathematical Science, Tokyo Metropolitan University, Hachioji, 192-0397, Japan
- 3 Graduate School of Science and Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-Ku, Tokyo, Japan
- 4 People's Friendship University of Russia, Russian Federation
Keywords
Local Muckenhoupt weight; Modular inequality; Variable exponent; Wavelet
Date of creation
02.11.2020
Date of change
02.11.2020
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Other records
Acta Crystallographica Section E: Crystallographic Communications.
International Union of Crystallography.
Vol. 76.
2020.
P. 1454-1457