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BY 4.0 license Open Access Published by De Gruyter Open Access December 31, 2020

Pointwise Multipliers on Weak Morrey Spaces

  • Ryota Kawasumi and Eiichi Nakai EMAIL logo

Abstract

We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one. The set of all pointwise multipliers from a weak Lebesgue space to another one is also a weak Lebesgue space. However, we point out that the weak Morrey spaces do not always have this property just as the Morrey spaces not always.

MSC 2010: 42B35; 46E30

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Received: 2020-07-28
Accepted: 2020-12-01
Published Online: 2020-12-31
Published in Print: 2020-01-01

© 2020 Ryota Kawasumi et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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