Extrapolations on ball Banach function spaces and applications

被引:0
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作者
Chaohong Deng
Jiawei Sun
Baode Li
机构
[1] Xinjiang University,College of Mathematics and System Sciences
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关键词
Extrapolation; Ball Banach function space; Fractional spherical maximal operator; Fractional integral operator; 42B35; 42B20; 42B25;
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摘要
In this paper, some extrapolations on ball Banach function spaces are established. As applications, we obtain the boundedness of fractional spherical maximal operators, fractional integral operators with rough kernels, spherical maximal operators, strongly singular integral operators and maximal Bochner–Riesz operators on ball Banach function spaces. Finally, we apply these boundedness results to two concrete examples of ball Banach function spaces, namely, variable Lebesgue spaces and mixed-norm Lebesgue spaces.
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