Lipschitz Transformations and Maurey-Type Non-Homogeneous Integral Inequalities for Operators on Banach Function Spaces

Lipschitz Transformations and Maurey-Type Non-Homogeneous Integral Inequalities for Operators on Banach Function Spaces

We introduce a method based on Lipschitz pointwise transformations to define a distance on a Banach function space from its norm. We show how some specific lattice geometric properties (<i>p</i>-convexity, <i>p</i>-concavity, <i>p</i>-regularity) or, equivalently,...

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Bibliographic Details
Main Authors: Roger Arnau, Enrique A. Sánchez-Pérez
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Mathematics
Subjects:
banach function space
lipschitz transform
integral inequality
<i>p</i>-convexity
<i>p</i>-concavity
<i>p</i>-regular operator
Online Access:https://www.mdpi.com/2227-7390/11/22/4599

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https://www.mdpi.com/2227-7390/11/22/4599

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