The riesz integral and an Lp - Lq estimate for the cauchy problem of the wave operator

Chin Cheng Lin

doi:10.1216/rmjm/1181072386

The riesz integral and an L^p - L^q estimate for the cauchy problem of the wave operator

Chin Cheng Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

In 1949, M. Riesz [3] generalized the Riemann- Liouville integral of one-variable to high dimensional Euclidean spaces and obtained a powerful method now known as the Riesz integral for studying wave operators. In this paper we apply the Riesz integral to get the global space-time estimate.

原文	???core.languages.en_GB???
頁（從 - 到）	1027-1038
頁數	12
期刊	Rocky Mountain Journal of Mathematics
卷	24
發行號	3
DOIs	https://doi.org/10.1216/rmjm/1181072386
出版狀態	已出版 - 1994

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10.1216/rmjm/1181072386

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AB - In 1949, M. Riesz [3] generalized the Riemann- Liouville integral of one-variable to high dimensional Euclidean spaces and obtained a powerful method now known as the Riesz integral for studying wave operators. In this paper we apply the Riesz integral to get the global space-time estimate.

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The riesz integral and an Lp - Lq estimate for the cauchy problem of the wave operator

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The riesz integral and an L^p - L^q estimate for the cauchy problem of the wave operator