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arXiv · 1905.10082

Bilinear estimates on Morrey spaces by using average

Naoya Hatano
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Abstract

This paper is a follow up of [6]. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in [3]. When the local integrability index $s$ falls 1 with weights and $t$ exceeds 1, He and Yan obtained some results on this operator was worked on Morrey spaces earlier in [7]. Later in the paper [6], we considered the case $t=1$. This paper handles the remaining case $0<t<1$.

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Naoya Hatano. 2019-05-24. Bilinear estimates on Morrey spaces by using average. https://arxiv.org/abs/1905.10082

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