LP regularity of Szegö projections on quotient domains

Ghosh, A and Ghosh, G (2023) LP regularity of Szegö projections on quotient domains. In: New York Journal of Mathematics, 29 . pp. 911-930.

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Abstract

We introduce a family of Hardy spaces {ℋϱ }ϱ∈ ˆG1 on the distinguished boundary of the quotient domain Dn ∕G, where G is a finite pseu-doreflection group acting on Dn and ˆĞ1 is the set of equivalence classes of one-dimensional representations of Ğ. We establish a uniform platform to study Lp regularity properties of the generalized Szegö projections associated to Hardy spaces ℋϱ for every ϱ ∈ˆĞ1.

Item Type:	Journal Article
Publication:	New York Journal of Mathematics
Publisher:	University at Albany
Additional Information:	The copyright for this article belongs to the University at Albany.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Nov 2023 09:44
Last Modified:	04 Nov 2023 09:44
URI:	https://eprints.iisc.ac.in/id/eprint/83105

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