Extrapolation to Herz spaces with variable exponents and applications
type: Item
instance of: scholarly article
title: Extrapolation to Herz spaces with variable exponents and applications
zbMATH Open document ID: 1465.42015
author: Kwok-Pun Ho
published in: Revista Matemática Complutense
publication date: 2020-04-14T00:00:00Z
review text: This paper extends the extrapolation theory to Herz spaces with variable exponents. The extrapolation theory was applied to obtain the John-Nirenberg inequalities, the characterizations of BMO and the boundedness of the geometrical maximal operator. This extrapolation theory had been further refined in [\textit{K.-P. Ho}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 559--574 (2021; Zbl 1462.42030)] to obtain the boundedness of the spherical maximal function and the maximal Bochner-Riesz mean on Herz spaces with variable exponents.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7189304
zbMATH Keywords: Herz spaces
zbMATH Keywords: variable exponents
zbMATH Keywords: extrapolation
zbMATH Keywords: Fefferman-Stein inequality
zbMATH Keywords: bounded mean oscillations
zbMATH Keywords: John-Nirenberg inequality
zbMATH Keywords: Rubio de Francia inequality
zbMATH Keywords: geometrical maximal operator
MaRDI profile type: Publication
full work available at URL: s13163-019-00320-3
OpenAlex ID: W2969478451
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Wikidata QID: Q127340796
DOI: 10.1007/S13163-019-00320-3
description: scientific article; zbMATH DE number 7189304