Integration operators between Hardy spaces on the unit ball of

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• 作者：Jordi Pau¹ ; ^{jordi.pau@ub.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：32A35 ; 32A36 ; 47B10 ; 47B38
• 刊名：Journal of Functional Analysis
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：270
• 期：1
• 页码：134-176
• 全文大小：607 K

文摘

We completely describe the boundedness of the Volterra type operator class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022123615004176&_mathId=si2.gif&_user=111111111&_pii=S0022123615004176&_rdoc=1&_issn=00221236&md5=63f5137a93310851e7e2e1121006a9ad" title="Click to view the MathML source">J_gclass="mathContainer hidden">class="mathCode">$J_g$ between Hardy spaces in the unit ball of class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022123615004176&_mathId=si1.gif&_user=111111111&_pii=S0022123615004176&_rdoc=1&_issn=00221236&md5=b58c804ddd9b0b682c7761256fa5fb1f" title="Click to view the MathML source">Cⁿclass="mathContainer hidden">class="mathCode">${\mathbb{C}}^n$. The proof of the one dimensional case used tools, such as the strong factorization for Hardy spaces, that are not available in higher dimensions, and therefore other techniques must be used. In particular, a generalized version of the description of Hardy spaces in terms of the area function is needed.