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A Few Properties Of Some ?-type Block-sobolev Spaces

Posted on:2018-01-01Degree:MasterType:Thesis
Country:ChinaCandidate:Y P WuFull Text:PDF
GTID:2310330518986063Subject:Mathematics
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This article mainly discuss some properties of I-type Block-Soboles space. Let 0 < p ? s ? ?. If n(p/s-1) ? ? ? n(p - 1), or 0 < p ?1, n(p - 1) ? ? < 0. We have:(?) if b(x) ? Cc?(?), g(x)?I - BWmp,s,a(?) and N weight index(0?|?| ? m ), the Leibniz formula can be proved.(?) if b(x)? Cc?(?2) and g(x) ? I - BWmp,s,?(?), Then b(x)g(x) ?I - BWmp,s,?(?),(?) the I - BWmp,s,a(?) spaces are complete.
Keywords/Search Tags:I - BWm(p, s, ?)(?) space, Leibniz formula, completeness
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