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On the Cauchy problem for holomorphic functions of Lebesgue class \(L^ 2\) in domains

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Publication:1204782
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DOI10.1007/BF00970999zbMath0787.32005MaRDI QIDQ1204782

Nikolai N. Tarkhanov, Alexandre A. Shlapunov

Publication date: 28 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Cauchy problemholomorphic functionsMartinelli-Bochner integral


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary behavior of holomorphic functions of several complex variables (32A40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic functions of several complex variables (32A10)


Related Items

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Construction of Carleman formulas by using mixed problems with parameter-dependent boundary conditions ⋮ On the Cauchy problem for the Dolbeault complex in spaces of distributions



Cites Work

  • Approximation in the Mean by Solutions of Elliptic Equations
  • Representation of 𝐻^{𝑝}-functions
  • Unnamed Item
  • Unnamed Item
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