Work

Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains

Year: 2020

Type: article

Abstract: In this paper we study properties of Toeplitz operators on weighted Bergman spaces of bounded strongly pseudoconvex domains. We prove that a Toeplitz operator built using a weighted Bergman kernel of weight β and integrating against a measure μ maps continuously a weighted Bergman space Ap1α1(D) into Ap2α2(D) if and only if μ is a (λ,γ)-skew Carleson measure, where λ=1+1p1−1p2 and γ=1λ(β+α1p1−α2p2). This generalizes results obtained by Pau and Zhao on the unit ball, and by Abate, Raissy and Saracco on a smaller class of Toeplitz operators on strongly pseudoconvex domains.

Source: Journal of Operator Theory

DOI: 10.7900/jot.2019jun03.2260

Authors: Dipartimento di Matematica, Universita di Pisa, Largo Pontecorvo 5 Pisa, I-56127, Italy, Marco Abate, Samuele Mongodi, Jasmin Raissy

Institutions: University of Pisa, Politecnico di Milano, Institut de Mathématiques de Toulouse

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Università di Pisa

OpenAlex ID: W2947564148

FWCI: 1.367

Cites: 36

Cited by: 21

Related to: 10