Sparse non-smooth atomic decomposition of Morrey spaces

Recently, a non-smooth atomic decomposition in Morrey spaces was obtained by the author, Iida and Tanaka. This note refines the above existing result using the notion of sparse families. As an application, we prove the equivalence between fractional integral operators and fractional maximal operators under the Morrey norm. © 2019 John Wiley & Sons, Ltd.

Authors
Sawano Y. 1, 2
Publisher
John Wiley and Sons Ltd
Language
English
Status
Published
Year
2019
Organizations
  • 1 Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, 192-0397, Japan
  • 2 Department of mathematical analysis and theory of functions, Peoples' Friendship University of Russia, Moscow, Russian Federation
Keywords
decomposition; Morrey spaces
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56390/
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