Bounded extremal problems in Bergman and Bergman-Vekua spaces

DOI10.1080/17476933.2020.1818732zbMath1483.30089arXiv2009.02052OpenAlexW3083262786MaRDI QIDQ5037258

Juliette Leblond, Briceyda B. Delgado

Publication date: 28 February 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02052

zbMATH Keywords

Bergman spacesVekua equationgeneralized holomorphic functionsbounded extremal problems

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation with constraints (41A29) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Bergman spaces and Fock spaces (30H20)

Related Items

Transmutation operators and complete systems of solutions for the radial bicomplex Vekua equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains
• On the boundary continuity of conformal maps
• Hardy spaces of the conjugate Beltrami equation
• Functional analysis, Sobolev spaces and partial differential equations
• Hardy approximation to \(L^p\) functions on subsets of the circle with \(1\leq p<\infty\)
• The dual of a Bergman space on simply connected domains.
• Hardy approximation to \(L^ \infty\) functions on subsets of the circle
• Commutative algebras of Toeplitz operators on the Bergman space
• Holomorphic functions, of arbitrarily slow growth, without radial limits
• Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane
• Applied Pseudoanalytic Function Theory
• On the treatment of non-linear boundary value problems of a disturbed dirac equation by hypercomplex methods
• Approximation in reflexive Banach spaces and applications to the invariant subspace problem
• An Advanced Complex Analysis Problem Book
• Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation
• Uniqueness results for inverse Robin problems with bounded coefficient