Results 21 to 30 of about 39,813 (178)
$L^2$ extension theorem for jets with variable denominators
Comptes Rendus. Mathématique, 2021 By studying the variable denominators introduced by X. Zhou–L. Zhu, we generalize the results of D. Popovici for the $L^2$ extension theorem for jets. As a direct corollary, we also give a generalization of T. Ohsawa–K. Takegoshi’s extension theorem to a
Rao, Sheng, Zhang, Runze
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Variations on Hartogs and Henkin-Tumanov Theorems [PDF]
, 2007 There are equivalent characterizations for holomorphic functions defined on open sets of $\mathbb C^n$; first of all, they can be represented locally as sums of convergent power series.
Barber, A.J., Zhao, H.
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Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains
Boundary Value Problems, 2010 Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions.
Paul Bosch +2 more
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Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc
Discrete Analysis, 2023 Bi-parameter potential theory and Carleson measures for the Dirichlet space on the bidisc, Discrete Analysis 2023:22, 58 pp. Carleson measures arise naturally when considering harmonic or holomorphic extensions from the boundary of a domain to the ...
Nicola Arcozzi +3 more
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Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2020 Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura +2 more
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Hermitian clifford analysis [PDF]
, 2015 This paper gives an overview of some basic results on Hermitian Clifford analysis, a refinement of classical Clifford analysis dealing with functions in the kernel of two mutually adjoint Dirac operators invariant under the action of the unitary group ...
A Damiano +22 more
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Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
Journal of Function Spaces, 2017 We investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the ...
Yong Liu
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Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds [PDF]
, 2004 The precise relation between Kodaira-Spencer path integral and a particular wave function in seven dimensional quadratic field theory is established. The special properties of three-forms in 6d, as well as Hitchin's action functional, play an important ...
A. Gerasimov +23 more
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Open string multi-branched and Kahler potentials [PDF]
, 2016 We consider type II string compactifications on Calabi-Yau orientifolds with fluxes and D-branes, and analyse the F-term scalar potential that simultaneously involves closed and open string modes.
Carta, Federico +3 more
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