Norm Inequality for Intrinsic Square Functions in a Generalized Hardy-Morrey Space

doi:10.4236/oalib.1108463

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Open Access Library Journal 9 2022

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Norm Inequality for Intrinsic Square Functions in a Generalized Hardy-Morrey Space

DOI: 10.4236/oalib.1108463, PP. 1-21

Martial Agbly Dakoury, Justin Feuto

Subject Areas: Mathematics

Keywords: Amalgam Spaces, Hardy-Amalgam Spaces, Hardy-Morrey Space, Intrinsic Square Function, Commutator

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Abstract

We define a generalized Hardy-Morrey space and give an atomic characterization whenever we are in some appropriate range of index. This atomic decomposition helps us to give a control of some intrinsic square functions and their commutators in the above mentioned spaces.

Cite this paper

Dakoury, M. A. and Feuto, J. (2022). Norm Inequality for Intrinsic Square Functions in a Generalized Hardy-Morrey Space. Open Access Library Journal, 9, e8463. doi: http://dx.doi.org/10.4236/oalib.1108463.

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