期刊论文

Saminathan Ponnusamy

英文

JOURNAL OF GEOMETRIC ANALYSIS

1050-6926

2021

31

11

11051-11060

10.1007/s12220-021-00672-7

We are grateful to the referee for her/his useful comments and suggestions. The first author (Mr. Shaolin Chen) was partly supported by NNSF of China under the number 12071116, the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469); the third author (Mr. Xiantao Wang) was partly supported by NNSFs of China under the numbers 12071121 and 11720101003, and the project under the number 2018KZDXM034.

本校为第一机构

Let f= P[F] denote the Poisson integral of F in the unit disk D with F being absolutely continuous in the unit circle T and F˙ ∈ Lp(T) , where F˙(eit)=ddtF(eit) and p≥ 1. Recently, the author in Zhu (J Geom Anal, 2020) proved that (1) if f is a harmonic mapping and 1 ≤ p< 2 , then fz and fz¯¯ ∈ Bp(D) , the classical Bergman spaces of D [12, Theorem 1.2]; (2) if f is a harmonic quasiregular mapping and 1 ≤ p≤ ∞, then fz, fz¯¯ ∈ Hp(D) , the classical Hardy spaces of D [12, Theorem 1.3]. These are the main results in Zhu (J Geom A...