On Khintchine inequalities with a weight
Mark Veraar
TL;DR
This paper establishes a weighted version of the Khintchine inequalities, extending classical results to incorporate weights, which broadens their applicability in analysis.
Contribution
It introduces a novel weighted Khintchine inequality, providing a new tool for analysis involving weighted spaces.
Findings
Proved a weighted Khintchine inequality.
Extended classical inequalities to weighted settings.
Potential applications in weighted harmonic analysis.
Abstract
In this note we prove a weighted version of the Khintchine inequalities.
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Taxonomy
TopicsAdvanced Banach Space Theory · Functional Equations Stability Results · Optimization and Variational Analysis