Strong continuity on Hardy spaces

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• 作者：Jacek Dziubański^a ; ^{jdziuban@math.uni.wroc.pl" class="auth_mail" title="E-mail the corresponding author} ; Błażej Wró ; bel^b ; ^a ; ^{blazej.wrobel@math.uni.wroc.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：42B30 ; 47D06 ; 47A60
• 刊名：Journal of Approximation Theory
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：211
• 期：Complete
• 页码：85-93
• 全文大小：229 K

文摘

We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space pan id="mmlsi1" class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021904516300508&_mathId=si1.gif&_user=111111111&_pii=S0021904516300508&_rdoc=1&_issn=00219045&md5=765582741c82766130b0b10c39781464">class="imgLazyJSB inlineImage" height="18" width="20" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0021904516300508-si1.gif">pan class="mathContainer hidden">pan class="mathCode">$H_L^1$pan>pan>pan> introduced by Hofmann, Lu, Mitrea, Mitrea, Yan. Our results include the heat and Poisson semigroups as well as the group of imaginary powers.