Atomic decompositions and Hardy’s inequality on weak Hardy-Morrey spaces

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Abstract

We introduce the weak Hardy-Morrey spaces in this paper. We also obtain the atomic decompositions of the weak Hardy-Morrey spaces. By using these decompositions, we establish the Hardy inequalities on the weak Hardy-Morrey spaces. Copyright © 2016 Science China Press and Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Pages (from-to)449-468
JournalScience China Mathematics
Volume60
Issue number3
Early online dateJan 2017
DOIs
Publication statusPublished - 2017

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Atomic Decomposition
Morrey Space
Hardy Space
Hardy Inequality
China
Decompose

Citation

Ho, K.-P. (2017). Atomic decompositions and Hardy’s inequality on weak Hardy-Morrey spaces. Science China Mathematics, 60(3), 449–468. doi: 10.1007/s11425-016-0229-1

Keywords

  • Hardy spaces
  • Morrey spaces
  • Weak Lebesgue spaces
  • Atomic decompositions
  • Hardy’s inequality