Boundedness of Commutators for Marcinkiewicz Integrals on Weighted Herz-Type Hardy Spaces

Boundedness of Commutators for Marcinkiewicz Integrals on Weighted Herz-Type Hardy Spaces

Year:    2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 365–376

Abstract

In this paper, the authors study the boundedness of the operator $\mu^b_\Omega$, the commutator generated by a function $b \in \text{Lip}_\beta (\mathbf{R}^n)$ $(0<\beta<1)$ and the Marcinkiewicz integral $\mu_\Omega$ on weighted Herz-type Hardy spaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10049-011-0365-z

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 365–376

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Marcinkiewicz integral commutator weighted Herz space Hardy space.