Toeplitz Operators with Essentially Radial Symbols
نویسندگان
چکیده
منابع مشابه
Toeplitz Operators with Essentially Radial Symbols
For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform. The notion of essentially radial symbol is a natural extension, in the context of multiply-connected domains, of the notion of radial symbol on the disk. In this paper we analyze the relationship between the boundary behavior ...
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Let Ω be a bounded multiply-connected domain in the complex plane C, whose boundary ∂Ω consists of finitely many simple closed smooth analytic curves γj j 1, 2, . . . , n where γj are positively oriented with respect to Ω and γj ∩ γi ∅ if i / j. We also assume that γ1 is the boundary of the unbounded component of C\Ω. LetΩ1 be the bounded component of C\γ1, and Ωj j 2, . . . , n the unbounded c...
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For f in L∞, the space of essentially bounded Lebesgue measurable functions on the unit circle, ∂D, the Toeplitz operator with symbol f is the operator Tf on the Hardy space H2 of the unit circle defined by Tfh = P (fh). Here P denotes the orthogonal projection in L2 with range H2. There are many fascinating problems about Toeplitz operators ([3], [6], [7] and [20]). In this paper we shall conc...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2012
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2012/492690