Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators

Anton Asare-Tuah; Jocelyn Gonessa; Benoit F. Sehba

doi:10.1007/s00605-023-01852-z

Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators

Anton Asare-Tuah, Jocelyn Gonessa, Benoit F. Sehba

Department of Mathematics

Université de Bangui

Research output: Contribution to journal › Article › peer-review

Abstract

We provide in this note some endpoint criteria for the boundedness of some general multilinear operators with positive kernel. We also study boundedness properties of a family of multilinear Bergman-type operators on product of upper-half planes.

Original language	English
Pages (from-to)	11-51
Number of pages	41
Journal	Monatshefte fur Mathematik
Volume	201
Issue number	1
DOIs	https://doi.org/10.1007/s00605-023-01852-z
Publication status	Published - May 2023

Keywords

Bergman projection
Hilbert operator
Schur’s test
Upper-half plane

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Cite this

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title = "Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators",

abstract = "We provide in this note some endpoint criteria for the boundedness of some general multilinear operators with positive kernel. We also study boundedness properties of a family of multilinear Bergman-type operators on product of upper-half planes.",

keywords = "Bergman projection, Hilbert operator, Schur{\textquoteright}s test, Upper-half plane",

author = "Anton Asare-Tuah and Jocelyn Gonessa and Sehba, {Benoit F.}",

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AU - Sehba, Benoit F.

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AB - We provide in this note some endpoint criteria for the boundedness of some general multilinear operators with positive kernel. We also study boundedness properties of a family of multilinear Bergman-type operators on product of upper-half planes.

KW - Bergman projection

KW - Hilbert operator

KW - Schur’s test

KW - Upper-half plane

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Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators

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Keywords

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