A remark on the Schr\"odinger operator on Wiener amalgam spaces
Tomoya Kato, Naohito Tomita
TL;DR
This paper investigates the boundedness of the Schr"odinger operator on Wiener amalgam spaces, establishing the optimal conditions under which it remains bounded, thereby advancing understanding of its functional analysis properties.
Contribution
It provides the first precise characterization of the boundedness conditions for the Schr"odinger operator on Wiener amalgam spaces.
Findings
Identifies the optimal boundedness conditions for the Schr"odinger operator.
Establishes new criteria for operator boundedness on Wiener amalgam spaces.
Abstract
In this paper, we study the boundedness of the Schr\"odinger operator on Wiener amalgam spaces and determine its optimal condition.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · Advanced Mathematical Physics Problems