Herz Classes and Toeplitz Operators in the Disk |
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| Authors: | Maribel Loaiza Marcos López-García Salvador Pérez-Esteva |
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| Affiliation: | (1) Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, D.F., México;(2) Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, A.P. 273-3, ADMON 3, Cuernavaca, Mor., 62251, México |
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| Abstract: | In this paper we decompose  into diadic annuli  and consider the class Sp,q of Toeplitz operators Tφ for which the sequence of Schatten norms  belongs to ℓq, where φn = φχ An. We study the boundedness and compactness of the operators in Sp,q and we describe the operators Tφ , φ ≥ 0 in these spaces in terms of weighted Herz norms of the averaging operator of the symbols φ. |
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| Keywords: | Primary 47B35 Secondary 46E30 |
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