Carleson measures on convex domains with smooth boundary of finite type

Author:

Li Haichou1,Liu Jinsong23,Wang Hongyu4

Affiliation:

1. College of Mathematics and Informatics South China Agricultural University Guangzhou China

2. HLM, Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

3. School of Mathematical Sciences University of Chinese Academy of Sciences Beijing China

4. School of Science Beijing University of Posts and Telecommunications Beijing China

Abstract

AbstractFollowing M. Abate and A. Saracco's work on strongly pseudoconvex domains in , we characterize Carleson measures of in bounded convex domains in with smooth boundary of finite type. We also give examples of Carleson measures with uniformly discrete (with respect to the Kobayashi distance) sequences.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Mathematics

Reference19 articles.

1. M.Abate S.Mongodi andJ.Raissy Toeplitz operators and skew carleson measures for weighted bergman spaces on strongly pseudoconvex domains ArXiv:1905.13056v1 2019.

2. Skew Carleson measures in strongly pseudoconvex domains;Abate M.;Complex Anal. Oper. Theory,2017

3. Toeplitz operators and Carleson measures in strongly pseudoconvex domains

4. Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains

5. J‐H.Chen Estimates of the invariant metrics on convex domains inCn$\mathbb {C}^n$ Ph.D. thesis Purdue University 1989.

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