Hausdorff operators on modulation and Wiener amalgam spaces
Guoping Zhao, Dashan Fan, Weichao Guo
TL;DR
This paper establishes precise conditions under which Hausdorff operators are bounded on specific modulation and Wiener amalgam spaces, advancing the understanding of their functional analysis properties.
Contribution
It provides the sharp boundedness criteria for Hausdorff operators on modulation and Wiener amalgam spaces, which was previously unknown.
Findings
Derived sharp boundedness conditions
Extended the theory of Hausdorff operators
Enhanced understanding of operator behavior on function spaces
Abstract
We give the sharp conditions for boundedness of Hausdorff operators on certain modulation and Wiener amalgam spaces.
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