Extrapolation of Vector valued Rearrangement Operators
Stefan Geiss, Paul F. X. Mueller
TL;DR
This paper investigates how vector valued rearrangement operators behave when extended beyond their initial domain, focusing on their extrapolation properties in the context of the normalized Haar basis in $L^p_X$.
Contribution
It provides new insights into the extrapolation behavior of vector valued rearrangement operators on the Haar basis in $L^p_X$ spaces.
Findings
Characterization of extrapolation properties of these operators
Identification of conditions for boundedness in extended spaces
New theoretical results on rearrangement operator behavior
Abstract
We study the extrapolation properties of vector valued rearrangement operators acting on the normalized Haar basis in
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