Endpoint regularity of discrete multisublinear fractional maximal operators associated with ℓ1 $\ell^{1}$-balls

Abstract In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with ℓ1 $\ell^{1}$-balls, both in the centered and uncentered versions. We show that these operators map ℓ1(Zd)×⋯×ℓ1(Zd) $\ell^{1}(\mathbb{Z}^{d})\times\cdots\times \ell^{...

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Bibliographic Details
Main Author: Feng Liu
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1627-9