Extrapolation to mixed norm spaces and applications

  • Kwok-Pun Ho The Education University of Hong Kong
Keywords: mixed norm spaces, extrapolation, Littlewood-Paley functions, geometrical maximal functions

Abstract

This paper establishes extrapolation theory to mixed norm spaces. By applying this extrapolation theory, we obtain the mapping properties of the Rubio de Francia Littlewood-Paley functions and the geometrical maximal functions on mixed norm spaces. As special cases of these results, we have the mapping properties on the mixed norm Lebesgue spaces with variable exponents and the mixed norm Lorentz spaces.

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Author Biography

Kwok-Pun Ho, The Education University of Hong Kong

Department of Mathematics and Information Technology

Published
2021-11-17
Section
Articles