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SCHRÖDINGER PROPAGATOR ON WIENER AMALGAM SPACES IN THE FULL RANGE
Published online by Cambridge University Press: 27 August 2024
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.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal
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).
References
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