Some estimates for the bilinear fractional integrals on the Morrey space

2018/08/15 by Yu, Xiao, Tao, Xiangxing, Zhang, Huihui +1
#42B20 #42B25 #Classical Analysis and ODEs (math.CA) #F.2.2 #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.05189

Abstract

In this paper, we are interested in the following bilinear fractional integral operator BI_α defined by BI_α(f,g)(x)=∫_% %TCIMACRO\U211d % %BeginExpansion ℝ %EndExpansion ⁿ\fracf(x-y)g(x+y)|y|^n-αdy, with 0< α

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