Geometric Harmonic Analysis IV
Autor: | Dorina Mitrea, Irina Mitrea, Marius Mitrea |
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EAN: | 9783031291791 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 09.07.2023 |
Untertitel: | Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis |
Kategorie: | |
Schlagworte: | Divergence theorem;integration by parts;Stokes theorem;singular integral operators;function spaces;boundary value problems;integral representation formulas in complex analysis |
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Traditionally, the label 'Calderón-Zygmund theory' has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Calderón-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here.