The Kerman-Sawyer trace theorem for product Morrey spaces
Naoya Hatano, Ryota Kawasumi, Hiroki Saito, Hitoshi Tanaka
TL;DR
This paper extends the Kerman-Sawyer trace inequality from Lebesgue spaces to product Morrey spaces using parallel corona decomposition, broadening its applicability in harmonic analysis.
Contribution
The paper introduces a novel extension of the Kerman-Sawyer trace inequality to product Morrey spaces via parallel corona decomposition, a new analytical technique.
Findings
Extended the Kerman-Sawyer trace inequality to product Morrey spaces.
Utilized parallel corona decomposition to achieve the extension.
Broadened the inequality's applicability in harmonic analysis.
Abstract
By using parallel corona decomposition, the Kerman-Sawyer trace inequality is extended from Lebesgue spaces to product Morrey spaces.
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