Results 31 to 40 of about 630 (56)
On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains with smooth boundary.
Romi F. Shamoyan +2 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley +1 more source
Gain of Regularity in Extension Problem on Convex Domains
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type. We prove that there exists a constant d such that on Bergman spaces Hp(D) with 1 ≤ p < d there appears the so‐called “gain regularity.” The constant d depends on the minimum of the dimension and the codimension of the subvariety.
M. Jasiczak, Alberto Fiorenza
wiley +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Holomorphically conjugate polynomial automorphisms of C2$\mathbb {C}^2$ are polynomially conjugate
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3745-3751, December 2024.Abstract We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f$f$ and g∈Aut(AC2)$g\in \mathsf {Aut}(\mathbb {A}^2_\mathbf {C})$ with dynamical degree greater than 1 are conjugate by some holomorphic diffeomorphism φ:C2→C2$\varphi \colon \mathbf {C}^2\rightarrow \mathbf {C}^2$, then φ$\varphi$ is a polynomial automorphism ...
Serge Cantat, Romain Dujardin
wiley +1 more source
Geometric properties of domains related to $\mu$-synthesis
, 2014 In the paper we study the geometric properties of a large family of domains, called the generalized tetrablocks, related to the $\mu$-synthesis, containing both the family of the symmetrized polydiscs and the family of the $\mu_{1,n}$-quotients $\mathbb ...
Zapalowski, Pawel
core +1 more source
On the structure of Nevanlinna measures
Mathematische Nachrichten, Volume 297, Issue 7, Page 2488-2516, July 2024.Abstract In this paper, we study the structural properties of Nevanlinna measures, that is, Borel measures that arise in the integral representation of Herglotz–Nevanlinna functions. In particular, we give a characterization of these measures in terms of their Fourier transform, characterize measures supported on hyperplanes including extremal measures,
Mitja Nedic, Eero Saksman
wiley +1 more source
Stationary disks and Green functions in almost complex domains [PDF]
, 2011 Using generalized Riemann maps, normal forms for almost complex domains (D, J) with singular foliations by stationary disks are defined. Such normal forms are used to construct counterexamples and to determine intrinsic conditions, under which the ...
Patrizio, G., Spiro, A.
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Condition R and holomorphic mappings of domains with generic corners [PDF]
, 2014 A piecewise smooth domain is said to have generic corners if the corners are generic CR manifolds. It is shown that a biholomorphic mapping from a piecewise smooth pseudoconvex domain with generic corners in complex Euclidean space that satisfies ...
Chakrabarti, Debraj, Verma, Kaushal
core
A new generalization of the Lelong number
, 2009 We introduce a quantity which measures the singularity of a plurisubharmonic function f relative to another plurisubharmonic function g, at a point a.
Lagerberg, Aron
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