Lp-Lq estimates for generalized spherical averages

Bagchi, S and Hait, S and Senthil Raani, KS (2022) Lp-Lq estimates for generalized spherical averages. In: Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 132 (1).

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Abstract

We study Lp improving estimates and continuity properties of maximal operators for generalized spherical means. Once these features are obtained, they are applied to get sparse bounds on lacunary and full generalized spherical averages. © 2022, Indian Academy of Sciences.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Publisher:	Springer
Additional Information:	The copyright for this article belongs to the Springer.
Keywords:	*-maximal operators; Ap weight; Bessel's function; Continuity properties; Generalized spherical mean; Lacunary; P weights; Sparse bound; Spherical means, Spheres
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	22 Jun 2022 05:06
Last Modified:	22 Jun 2022 05:06
URI:	https://eprints.iisc.ac.in/id/eprint/73599

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