Volume no :1, Issue no: 2, August 2008

Journal of Mathematical Sciences: Advances and Applications

ON BOUNDEDNESS OF PARAMETRIC MARCINKIEWICZ OPERATORS WITH NON-HOMOGENEOUS KERNEL ON MORREY-HERZ SPACES

Author's: SONGYAN ZHANG, RUIYING WEI and XIANGXING TAO
Pages: [359] - [371]
Received Date: May 18, 2008
Submitted by:

Abstract

As a kind of Littlewood-Paley operator, the generalized Parametric Marcinkiewicz integral operator with non-homogeneous kernels has been considered. If and then the boundedness for the operator on Morrey-Herz space is obtained in this note.

Keywords

Littlewood-Palay operator, Marcinkiewicz integral, non-homogeneous kernel, homogeneous Morrey-Herz space.