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Toeplitz Operators on Analytic Besov Spaces
Authors:Zhijian Wu  Ruhan Zhao  Nina Zorboska
Institution:(1) Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487, USA;(2) Department of Mathematics, SUNY Brockport, Brockport, NY 14420, USA;(3) Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada
Abstract:We characterize complex measures μ on the unit disk for which the Toeplitz operator T μ is bounded or compact on the analytic Besov spaces B p with 1 ≤ p < ∞. Research supported in part by NSF grant, DMS 0200587 (first author); and by a NSERC grant (third author).
Keywords:Primary 47B35  Secondary 32A18
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