Geometric Harmonic Analysis IV
ebook ∣ Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis · Developments in Mathematics
By Dorina Mitrea
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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.