Tent spaces over metric measure spaces under doubling and related assumptions

Alex Amenta

doi:10.1007/978-3-319-06266-2_1

Tent spaces over metric measure spaces under doubling and related assumptions

Alex Amenta^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

In this article, we define the Coifman-Meyer-Stein tent spaces T^p,q,α(X) associated with an arbitrary metric measure space (X, d,μ) under minimal geometric assumptions. While gradually strengthening our geo-metric assumptions, we prove duality, interpolation, and change of aperture theorems for the tent spaces. Because of the inherent technicalities in dealing with abstract metric measure spaces, most proofs are presented in full detail.

Original language	English
Pages (from-to)	1-29
Number of pages	29
Journal	Operator Theory: Advances and Applications
Volume	240
DOIs	https://doi.org/10.1007/978-3-319-06266-2_1
Publication status	Published - 2014

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title = "Tent spaces over metric measure spaces under doubling and related assumptions",

abstract = "In this article, we define the Coifman-Meyer-Stein tent spaces Tp,q,α(X) associated with an arbitrary metric measure space (X, d,μ) under minimal geometric assumptions. While gradually strengthening our geo-metric assumptions, we prove duality, interpolation, and change of aperture theorems for the tent spaces. Because of the inherent technicalities in dealing with abstract metric measure spaces, most proofs are presented in full detail.",

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AB - In this article, we define the Coifman-Meyer-Stein tent spaces Tp,q,α(X) associated with an arbitrary metric measure space (X, d,μ) under minimal geometric assumptions. While gradually strengthening our geo-metric assumptions, we prove duality, interpolation, and change of aperture theorems for the tent spaces. Because of the inherent technicalities in dealing with abstract metric measure spaces, most proofs are presented in full detail.

KW - Change of aperture

KW - Complex interpolation

KW - Duality

KW - Hardy-littlewood maximal operator

KW - Volume doubling

UR - https://www.scopus.com/pages/publications/84958983829

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VL - 240

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JO - Operator Theory: Advances and Applications

JF - Operator Theory: Advances and Applications

ER -

Tent spaces over metric measure spaces under doubling and related assumptions

Abstract

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