$B$-Riesz Transforms Generated by Generalized Translate Operator on $HM^p_{q,{Delta

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Fundamental Journal of Mathematics and Applications
Volume:5 Issue:2
$B$-Riesz Transforms Generated by Generalized Translate Operator on $HM^p_{q,{Delta_{nu}}}$ Hardy-Mo...

$B$-Riesz Transforms Generated by Generalized Translate Operator on $HM^p_{q,{Delta_{nu}}}$ Hardy-Morrey Spaces

Pages : 127-134

View : 56 | Download : 11

Publication Date : 2022-06-01

Article Type : Research Paper

Abstract :We study the decomposition of Hardy-Morrey spaces via atoms and molecules, which have similar properties of $H^{p}_{\Delta_{\nu}}insert ignore into journalissuearticles values(\mathbb{R}^{n}_{+});$ Hardy spaces. Then we introduce the $HM^p_{q,{\Delta_{\nu}}}$ boundedness of $ B $-Riesz transforms generated by a generalized translate operator that is associated to Laplace Bessel operator for $0 Keywords : B Riesz transforms, Decomposition theory, Generalized translation operator, Hardy Morrey spaces, Laplace Bessel differential operator

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