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SCHRÖDINGER PROPAGATOR ON WIENER AMALGAM SPACES IN THE FULL RANGE

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  27 August 2024

GUOPING ZHAO Open the ORCID record for GUOPING ZHAO [Opens in a new window]  and
WEICHAO GUO Open the ORCID record for WEICHAO GUO [Opens in a new window]
GUOPING ZHAO
Affiliation:
School of Mathematics and Statistics Xiamen University of Technology 600 Ligong Road, Jimei District Xiamen People’s Republic of China [email protected]
WEICHAO GUO*
Affiliation:
School of Science Jimei University 185 Yinjiang Road, Jimei District Xiamen People’s Republic of China
*
[email protected]
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Abstract

Using the technique of Gabor analysis, we characterize the boundedness of $e^{i\Delta }: W^{p_1,q_1}_m\rightarrow W^{p_2,q_2}$ with modulation and translation operators, where and m is a v-moderate weight. The sharp exponents for the boundedness are also characterized in the case of power weight.

Keywords

Schrödinger propagatorWiener Amalgam spacesboundedness

MSC classification

Primary: 42B15: Multipliers 42B35: Function spaces arising in harmonic analysis
Type
Article
Information
Nagoya Mathematical Journal , Volume 256 , December 2024 , pp. 953 - 969
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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Footnotes

This work was supported by the National Natural Foundation of China (Grant No. 12371100) and the Natural Science Foundation of Fujian Province (Grant Nos. 2021J011192 and 2022J011241).

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