The structure of Rochberg spaces
Jes\'us M.F. Castillo, Manuel Gonz\'alez, Ra\'ul Pino
TL;DR
This paper investigates the detailed structure of Rochberg Banach spaces derived from the interpolation pair (lex__, lex_1) at 1/2, focusing on their properties and the operators acting on them.
Contribution
It provides new insights into the structure of Rochberg spaces and analyzes the operators defined on these spaces, expanding understanding of their functional-analytic properties.
Findings
Characterization of Rochberg spaces mathfrak Z_n in the interpolation setting
Analysis of bounded operators on these spaces
Identification of structural properties related to the interpolation pair
Abstract
We study the structure of the Rochberg Banach spaces associated to the interpolation pair at , and the operators defined on them
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Advanced Banach Space Theory