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• W2189152807 abstract "While bounded multiplication has been extensively researched, unbounded multiplication has received little attention until more recently.  We develop a framework for densely defined multiplication over reproducing kernel Hilbert spaces, and we find an application toward extending reproducing kernels. We also extend a result of Allen Shields, who showed that the multipliers for the Sobolev space are precisely the elements of that space.  We show that this holds even if multipliers are merely densely defined. In connection with multiplication operators, we explore densely defined Toeplitz operators.  Here we find simpler proofs of theorems from Sarason and Suarez.  We also produce a partial answer to a problem posed by Donald Sarason. ( en )" @default.
• W2189152807 created "2016-06-24" @default.
• W2189152807 creator A5058488295 @default.
• W2189152807 date "2013-01-01" @default.
• W2189152807 modified "2023-09-24" @default.
• W2189152807 title "Classes of Densely Defined Multiplication and Toeplitz Operators with Applications to Extensions of RKHS's" @default.
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