2019
DOI: 10.1002/mana.201700458
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Weighted estimates for bilinear fractional integral operators

Abstract: Moen (2016) proved weighted estimates for the bilinear fractional integrals where q≤1. We improve his results when q=1 and consider the case q>1. As a corollary we obtain a bilinear Stein–Weiss inequality where q≥1.

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Cited by 1 publication
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“…We will follow the idea used in [10, Theorem 2]. See also [17,Theorem 3.2] and [13,14] as well. We decompose…”
Section: Preliminariesmentioning
confidence: 99%
See 1 more Smart Citation
“…We will follow the idea used in [10, Theorem 2]. See also [17,Theorem 3.2] and [13,14] as well. We decompose…”
Section: Preliminariesmentioning
confidence: 99%
“…The second-named author was supported by Grant-in-Aid for Scientific Research (C) (16K05209), the Japan Society for the Promotion of Science. The authors are thankful to Professor Komori-Furuya Yasuo for his kind introcduction to [13,14].…”
mentioning
confidence: 99%