Optimal Sobolev regularity of on the Hartogs triangle

Y Pan, Y Zhang - Mathematische Annalen, 2024 - Springer
In this paper, we show that for each k∈ Z+, p> 4, there exists a solution operator T k to
the∂¯ problem on the Hartogs triangle that maintains the same W k, p regularity as that of …

Optimal Regularity for on the Hartogs Triangle

Y Zhang - The Journal of Geometric Analysis, 2024 - Springer
In this paper, we prove weighted L p estimates for the canonical solutions on product
domains. As an application, we show that if p∈[4,∞), the∂¯ equation on the Hartogs …

Optimal regularity for on the Hartogs triangle

Y Zhang - arXiv preprint arXiv:2207.04944, 2022 - arxiv.org
In this paper, we prove weighted $ L^ p $ estimates for the canonical solutions on product
domains. As an application, we show that if $ p\in [4,\infty) $, the $\bar\partial $ equation on …

Estimates for on Domains in and

MC Shaw - The Journal of Geometric Analysis, 2023 - Springer
In this paper, we survey some results of the Cauchy–Riemann equation on domains in C n \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

The -Equation on the Hartogs Triangles in and

MC Shaw - Hayama Symposium on Complex Analysis in Several …, 2022 - Springer
This is a survey paper of the recent progress of the Cauchy-Riemann equation on the
Hartogs triangles in C 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …