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The machinery developed in Chapters 13, 14, and 15 paves the way for solving boundary value problems in Ahlfors regular domains for weakly elliptic systems, and boundary condition formulated in terms of first-generation Herz-type spaces. Here we obtain solvability and well-posedness results for the Dirichlet, Neumann, Regularity, and Transmission Problems with boundary data in Ap,, the Neumann Problem with boundary data in HAp,q, and the Dirichlet Problem with boundary data in BCMOp,q.

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Boundary Problems on First-Generation Herz-type Spaces

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  • 发表日期：

    2026年

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  • Marius Mitrea,
  • Pedro Takemura

摘要

The machinery developed in Chapters 13, 14, and 15 paves the way for solving boundary value problems in Ahlfors regular domains for weakly elliptic systems, and boundary condition formulated in terms of first-generation Herz-type spaces. Here we obtain solvability and well-posedness results for the Dirichlet, Neumann, Regularity, and Transmission Problems with boundary data in Ap,, the Neumann Problem with boundary data in HAp,q, and the Dirichlet Problem with boundary data in BCMOp,q.