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The Bergman projection over plane regions

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Publication:1163669
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DOI10.1007/BF02384691zbMath0484.30009MaRDI QIDQ1163669

Jacob Burbea

Publication date: 1980

Published in: Arkiv för Matematik (Search for Journal in Brave)


zbMATH Keywords

Sobolev spaceBergman projectionBergman p-spaceBergman projection over plane regions


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach spaces of continuous, differentiable or analytic functions (46E15) Kernel functions in one complex variable and applications (30C40)


Related Items

Grunsky inequalities and Fredholm spectrum in general domains ⋮ Estimates in \(L^ p\) of integral operators, related with spaces of analytic and harmonic functions ⋮ The dual of a Bergman space on simply connected domains. ⋮ Projections on \(L^ P\)-spaces of polyanalytic functions ⋮ The method of variation of the domain for poly‐Bergman spaces



Cites Work

  • Non-linear potentials and approximation in the mean by analytic functions
  • Quasi topologies and rational approximation
  • Weighted norm inequalities for maximal functions and singular integrals
  • The Bergman Projection on Weighted Norm Spaces
  • An Extremal Method on Arbitrary Riemann Surfaces
  • Kernel Functions and Class L 2
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