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Bergman–Toeplitz Operators Between Weighted $$L^p$$-Spaces on Weakly Pseudoconvex Domains

Authors :
Tran Vu Khanh
Pham Trong Tien
Source :
The Journal of Geometric Analysis. 31:4612-4640
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

Abstract

In this paper, we study the Bergman–Toeplitz operator $$T_{\psi }$$ induced by $$\psi (w) = K_{\Omega }^{-\alpha }(w,w)d_{\Omega }^{\beta }(w)$$ with $$\alpha , \beta \ge 0$$ acting from a weighted $$L^p$$ -space $$L_a^p(\Omega )$$ to another one $$L_a^q(\Omega )$$ on a large class of pseudoconvex domains of finite type. In the case $$1< p \le q < \infty $$ , the following results are established

Details

ISSN :
1559002X and 10506926
Volume :
31
Database :
OpenAIRE
Journal :
The Journal of Geometric Analysis
Accession number :
edsair.doi...........3af19a4a67139d873f4b739881e809f5