n-Dimensional Sobolev type spaces involving Hankel transformation

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摘要

n-Dimensional Sobolev type spaces Gμ,ps(In) and Gμ,ps(In),1⩽p<∞,μ⩾-1/2,s∈R are defined using Hankel transformation. Properties including completeness, boundedness of product and convolution are investigated in Gμ,ps(In) as well as some properties are investigated in Gμ,ps(In).

论文关键词:Sobolev type space,Hankel transformation,Hilbert space,Hankel convolution

论文评审过程:Available online 12 March 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.019