Contact points and Schatten composition operators
نویسندگان
چکیده
منابع مشابه
Boundedness, Compactness and Schatten-class Membership of Weighted Composition Operators
The boundedness and compactness of weighted composition operators on the Hardy space H of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schattenclass membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on w...
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We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto’s conjectures and show a new compact composition operator which is not in any of the Schatten classes. 2000 Mathematics Subjec...
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We study time-frequency localization operators of the form A12 a , where a is the symbol of the operator and φ1, φ2 are the analysis and synthesis windows, respectively. It is shown in [3] that a sufficient condition for A12 a ∈ Sp(L(R)), the Schatten class of order p, is that a belongs to the modulation space Mp,∞(R2d) and the window functions to the modulation space M1. Here we prove a partia...
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We extend a classical result of Caughran/H. Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in C, ψ : D → C is analytic and bounded away from zero toward the boundary of D, and φ : D → D is a holomorphic map such that the weighted composition operator Wψ,φ is compact on a holomorphic functional Hilbert space (containing the polynomial functions...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2014
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-014-1374-7