Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Mitrea, Marius; Marin, Juan Jose; Mitrea, Irina; Martell, Jose Maria; Mitrea, Dorina

Birkhauser Verlag AG

09/2022

601

Dura

Inglês

9783031082337

15 a 20 dias

Descrição não disponível.
Introduction.- Geometric Measure Theory.- Calderon-Zygmund Theory for Boundary Layers in UR Domains.- Boundedness and Invertibility of Layer Potential Operators.- Controlling the BMO Semi-Norm of the Unit Normal.- Boundary Value Problems in Muckenhoupt Weighted Spaces.- Singular Integrals and Boundary Problems in Morrey and Block Spaces.- Singular Integrals and Boundary Problems in Weighted Banach Function Spaces.
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Geometric Measure Theory;Singular integral operators;Boundary value problem;Boundary layer potential;Ahlfors regular domain;Uniformly rectifiable domain;Nontangentially accessible domain;Muckenhoupt weight;Muckenhoupt weighted Sobolev space;Morrey space;Block space