Results 91 to 100 of about 217,307 (157)

The Borel map in locally integrable structures. [PDF]

open access: yesMath Ann, 2020
Della Sala G, Cordaro PD, Lamel B.
europepmc   +1 more source

Some Aspects of the Kobayashi and Carath,odory Metrics on Pseudoconvex Domains

open access: yes, 2012
The purpose of this article is to consider two themes, both of which emanate from and involve the Kobayashi and the Carath,odory metric. First, we study the biholomorphic invariant introduced by B.
Mahajan, Prachi, Verma, Kaushal
core  

BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains

open access: yes, 1992
For bounded strongly pseudoconvex domains D with smooth boundary in Cn, we introduce a kind of “mean oscillation” in terms of the Kobayashi metric. For f ϵ L2(D), it is shown that if f has “bounded mean oscillation on D,” then the Hankel operators Hf and
Li, Huiping
core   +1 more source

Smooth equivalence of families of strongly pseudoconvex domains

open access: yes
v1: 31 pages. Comments welcome!We establish a smoothness result for families of biholomorphisms between smooth families of strongly pseudoconvex domains, each with trivial biholomorphism group.
Gaussier, Hervé   +2 more
core  

Weighted $L^p$ Estimates for the Bergman and Szeg\H{o} Projections on Strongly Pseudoconvex Domains with Near Minimal Smoothness

open access: yes, 2021
We prove the weighted $L^p$ regularity of the ordinary Bergman and Cauchy-Szeg\H{o} projections on strongly pseudoconvex domains $D$ in $\mathbb{C}^n$ with near minimal smoothness for appropriate generalizations of the $B_p/A_p$ classes.
Wagner, Nathan A., Wick, Brett D.
core  

A reflection principle on strongly pseudoconvex domains with generic corners

open access: yesMathematische Zeitschrift, 1993
It is proved that a biholomorphic mapping between domains in \(\mathbb{C}^ n\) with certain type of generic, real-analytic corners in their boundaries extends holomorphically across these corners. In particular, every biholomorphic mapping between bounded, real-analytic, strongly pseudoconvex domains in \(\mathbb{C}^ n\) with generic corners extends ...
openaire   +2 more sources

Asymptotic Behavior of the Kobayashi Metric on Certain Infinite-Type Pseudoconvex Domains in C2

open access: yes, 2001
We study the asymptotic behavior of the Kobayashi metric near boundary points of the exponentially-flat infinite type in bounded domains in C2. These depend upon the tangency of the streams of reference points to the boundary. This is a generalization of
Lee, Sunhong
core   +1 more source

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