Operator theory on tent spaces

Abstract : We give a Calderón-Zygmund type machinery concerning the extrapolation theory for thesingular integral operators on tent spaces. For maximal regularity operators on tent space, wegive some optimal results by exploiting the structure of convolution integral operators and byusing the off-diagonal decay estimates of the underlying semigroup or resolvent family.We apply the previous harmonic and functional analysis techniques to estimate on tentspaces certain evolutionary integral operators arisen from the study of boundary value ellipticproblems and first order non-autonomous systems.
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Yi Huang. Operator theory on tent spaces. Analysis of PDEs [math.AP]. Université Paris-Saclay, 2015. English. ⟨NNT : 2015SACLS100⟩. ⟨tel-01350629⟩

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