Results 31 to 40 of about 1,815 (105)
Global Regularity for the ∂-b‐Equation on CR Manifolds of Arbitrary Codimension
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Let M be a C∞ compact CR manifold of CR‐codimension l≥1 and CR‐dimension n-l in a complex manifold X of complex dimension n ≥ 3. In this paper, assuming that M satisfies condition Y(s) for some s with 11≤s≤n-l-, we prove an L2‐existence theorem and global regularity for the solutions of the tangential Cauchy‐Riemann equation for (0, s)‐forms on M.
Shaban Khidr +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014 Weak‐star closures of Gleason parts in the spectrum of a function algebra are studied. These closures relate to the bidual algebra and turn out both closed and open subsets of a compact hyperstonean space. Moreover, weak‐star closures of the corresponding bands of measures are reducing.
Marek Kosiek +2 more
wiley +1 more source
Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains
, 2009 We characterize using the Bergman kernel Carleson measures of Bergman spaces in strongly pseudoconvex bounded domains in several complex variables, generalizing to this setting theorems proved by Duren and Weir for the unit ball.
Abate, Marco, Saracco, Alberto
core +2 more sources
Special Toeplitz operators on strongly pseudoconvex domains
Revista Matemática Iberoamericana, 2006 Toeplitz operators on strongly pseudoconvex domains in \mathbb{C}^n , constructed from the Bergman projection and with symbol equal to a positive power of the distance to the boundary, are considered. The mapping properties of these operators on
Čučković , Željko +1 more
openaire +4 more sources
Smooth equivalence of families of strongly pseudoconvex domains
, 2023 We establish a smoothness result for families of biholomorphisms between smooth families of strongly pseudoconvex domains, each with trivial biholomorphism group. This is accomplished by considering the Riemannian geometry of their Bergman metrics and proving a result about the smoothness of families of isometries between smooth families of Riemannian ...
Gaussier, Hervé +2 more
openaire +2 more sources
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 A new class of second order (K, F) pseudoconvex function is introduced with example. A pair of Wolfe type second order nondifferentiable symmetric dual programs over arbitrary cones with square root term is formulated. The duality results are established under second order (K, F) pseudoconvexity assumption.
A. K. Tripathy, F. Ding, F. Zirilli
wiley +1 more source
Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
On the Compactness of the Commutator of the Parabolic Marcinkiewicz Integral with Variable Kernel
Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014 The authors prove that the commutator of the parabolic Marcinkiewicz integral gΩ with variable kernel is a compact operator on Lp(Rn) (1
Yanping Chen +3 more
wiley +1 more source
On a higher dimensional worm domain and its geometric properties
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz +2 more
wiley +1 more source
Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that z0 ∈ bΩ is a point of finite 1‐type in the sense of D’Angelo. Then, there are an admissible curve Γ ⊂ Ω ∪ {z0}, connecting points q0 ∈ Ω and z0 ∈ bΩ, and a quantity M(z, X), along z ∈ Γ, which bounds from above and below the Bergman, Caratheodory, and Kobayashi metrics in a small ...
Sanghyun Cho +2 more
wiley +1 more source