- 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-...
$B$-Riesz Transforms Generated by Generalized Translate Operator on $HM^p_{q,{\Delta_{\nu}}}$ Hardy-Morrey Spaces
Authors : Cansu KESKİN
Pages : 127-134
Doi:10.33401/fujma.1013757
View : 21 | Download : 7
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