Here we make use of the Calderón-Zygmund theory for singular integral operators developed in Chapter 18 as a means of solving boundary value problems such as Dirichlet, Neumann, Regularity, and Transmission Problems for weakly elliptic systems in δ-AR domains with boundary data selected from homogeneous and inhomogeneous Herz spaces of second generation, as well as from geometric Herz spaces.

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Boundary Value Problems on Herz Spaces of Second Generation

  • Marius Mitrea,
  • Pedro Takemura

摘要

Here we make use of the Calderón-Zygmund theory for singular integral operators developed in Chapter 18 as a means of solving boundary value problems such as Dirichlet, Neumann, Regularity, and Transmission Problems for weakly elliptic systems in δ-AR domains with boundary data selected from homogeneous and inhomogeneous Herz spaces of second generation, as well as from geometric Herz spaces.