Normal singular Cauchy integral operators with operator-valued symbols

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• 作者：Caixing Gu^a ; ^{cgu@calpoly.edu" class="auth_mail" title="E-mail the corresponding author} ; In Sung Hwang^b ; ^{ihwang@skku.edu" class="auth_mail" title="E-mail the corresponding author} ; Dong-O Kang^c ; ^{dokang@cnu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Woo Young Lee^d ; ^{wylee@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Singular integral operators ; Self-adjoint ; Normal ; Unitary ; Isometry ; Hyponormal
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：447
• 期：1
• 页码：289-308
• 全文大小：428 K

文摘

In this paper we characterize a class of normal (isometric, coisometric, unitary, hyponormal) singular Cauchy integral operators with operator-valued (or matrix-valued) symbols on vector-valued (or class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16305893&_mathId=si1.gif&_user=111111111&_pii=S0022247X16305893&_rdoc=1&_issn=0022247X&md5=05eabc58ea9409ed3ed331d401e1d464" title="Click to view the MathML source">Cⁿclass="mathContainer hidden">class="mathCode">${\mathbb{C}}^n$-valued) class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16305893&_mathId=si2.gif&_user=111111111&_pii=S0022247X16305893&_rdoc=1&_issn=0022247X&md5=ef1ee893f186b1a4be91930118757a0f" title="Click to view the MathML source">L²class="mathContainer hidden">class="mathCode">$L^2$ spaces.