Weighted Sobolev estimates of∂ on domains covered by polydiscs Page 1 Weighted Sobolev
estimates of∂ on domains covered by polydiscs Yuan Yuan and Yuan Zhang Abstract This …

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 …

We observe that the continuity assumption on $ f $ for the uniform estimates of the canonical
solution to $\bar\partial u= f $ on products of $ C^ 2$ bounded planar domains in\cite {DPZ} …

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 …

The note concerns the $\bar\partial $ problem on product domains in $\mathbb C^ 2$. We
show that there exists a bounded solution operator from $ C^{k,\alpha} $ into itself …

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 …

Sobolev regularity of the canonical solutions to on product domains Page 1 Comptes
Rendus Mathématique Yuan Zhang Sobolev regularity of the canonical solutions to ∂ on …

We begin this thesis by a brief introduction to the $\bar {\partial} $-problem in several
complex variables and the classical $ L^ 2$ Theorem of $\bar {\partial} $. We then introduce …

Sobolev regularity of the canonical solutions to ∂ on product domains Page 1 Sobolev
regularity of the canonical solutions to ∂ on product domains Yuan Zhang Abstract Let Ω be a …

The note concerns the $\bar\partial $ problem on product domains in $\mathbb C^ 2$. We
show that there exists a bounded solution operator from $ C^{k,\alpha} $ into itself …