Results 31 to 40 of about 934,965 (146)
Weighted Bergman Kernels and Mathematical Physics
Axioms, 2020 We review several results in the theory of weighted Bergman kernels. Weighted Bergman kernels generalize ordinary Bergman kernels of domains Ω ⊂ C n but also appear locally in the attempt to quantize classical states of mechanical systems ...
Elisabetta Barletta +2 more
doaj +1 more source
On Hardy spaces on worm domains
Concrete Operators, 2016 In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does ...
Monguzzi Alessandro
doaj +1 more source
Visibility domains that are not pseudoconvex
, 2023 The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains.
Banik, Annapurna
core
ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 We prove new projection theorems for new Herz type spaces in various domains in Cn in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on ...
R. F. Shamoyan, A. N. Shipka
doaj
Smoothness to the Boundary of Biholomorphic Mappings
International Journal of Analysis and Applications, 2015 Under a plausible geometric hypothesis, we show that a biholomorphic mappingof smoothly bounded, pseudoconvex domains extends to a diffeomorphism of the closures.
Steven G. Krantz
doaj +2 more sources
The equation on variable strictly pseudoconvex domains
, 2017 We investigate regularity properties of the (partial derivative) over bar -equation on domains in a complex euclidean space that depend on a parameter. Both the interior regularity and the regularity in the parameter are obtained for a continuous family ...
Gong, Xianghong +3 more
core +1 more source
Spectra of subnormal pairs [PDF]
Opuscula Mathematica, 2007 In this short note we present an example related to joint spectra of subnormal pairs of bounded operators. A counterexample to the equality between Taylor's spectrum and the closure of the defect spectrum is given. This example is related to the author's
Krzysztof Rudol
doaj
Projected Composition Operators on Pseudoconvex Domains [PDF]
Integral Equations and Operator Theory, 2021 Let $Ω\subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 (Ω)$ denote its Bergman space. Let $P:L^2(Ω)\longrightarrow A^2(Ω)$ be the Bergman projection. For a measurable $φ:Ω\longrightarrow Ω$, the projected composition operator is defined by $(K_φf)(z) = P(f \circ φ)(z), z \inΩ, f\in A^2 (Ω).$ In 1994, Rochberg studied boundedness ...
openaire +3 more sources
Families of strictly pseudoconvex domains and peak functions [PDF]
, 2017 We prove that given a family (Gt) of strictly pseudoconvex domains varying in C2 topology on domains, there exists a continuously varying family of peak functions ht,ζ for all Gt at every ζ∈∂Gt
Arkadiusz Lewandowski +1 more
core +1 more source
A Sheaf‐Theoretic CR Reduction for Levi‐Flat Manifolds Beyond the Kähler Setting
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a sheaf‐theoretic reduction formalism for real‐analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds. Let M = G0/H0 be such a CR manifold, let M↪X be a complex realization, and let π : X⟶Y be the holomorphic reduction of the ambient complex manifold.
Abdel Rahman Al-Abdallah, Shikha Binwal
wiley +1 more source