$B$-Riesz Transforms Generated by Generalized Translate Operator on $HM^p_{q,{\Delta_{\nu}}}$ Hardy-Morrey Spaces
Pages : 127-134
View : 19 | Download : 10
Publication Date : 2022-06-01
Article Type : Research
Abstract :We study the decomposition of Hardy-Morrey spaces via atoms and molecules, which have similar properties of $H^{p}_{\Delta_{\nu}}(\mathbb{R}^{n}_{+})$ 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
