Synopsis
ofmathematics is to determine One ofthe fundamental in area problems any underconsideration.As for the distinctvariantsofan complex-functional object for in the oneis equivalentrepresentations analysis, interested, example, studying This is classes of functions. ofthe invariant holomorphic problem conformally the classes. addressed here for Q holomorphic - dimensional anddm the element ofthetwo mea- For E Lebesgue P [0,oo) disk is ofthe class that function in the unit we aholomorphic D, f, sure, say provided Qp 1/2 11-iv-zl = :wED
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Holomorphic Q Classes (Lecture Notes in Mathematics, 1767)
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Holomorphic Q Classes (Lecture Notes in Mathematics, 1767)
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Holomorphic Q Classes (Lecture Notes in Mathematics, 1767)
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Holomorphic Q Classes (Lecture Notes in Mathematics, 1767)
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Holomorphic Q Classes (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2001
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ISBN 13: 9783540426257
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Paperback. Condition: new. Paperback. The space Q p consists of all holomorphic functions f on the unit disk for which the L^2 area integrals of its derivative against the p-th power of the Green function of the unit disk are uniformly bounded in the variable that survives the integration. It turns out that Q 1 coincides with BMOA, while, for p>1, Q p are just the Bloch space. For p/in (0,1) the Q p furnish an increasing sequence of spaces, each invariant under conformal mappings of the unit disk onto itself, which interpolate between the Dirichlet space and BMOA. This monograph covers a number of important aspects in complex, functional and harmonic analysis. The primary focus is Q p, p/in (0,1), and their equivalent characterizations. Based on the up-to-date results obtained by experts in their respective fields, each of the eight chapters unfolds from the basics to the more complex. The exposition here is rapid-paced and efficient, with proofs and examples. This monograph covers a number of important aspects in complex, functional and harmonic analysis. The primary focus is Q p, p/in (0,1), and their equivalent characterizations. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540426257
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Holomorphic Q Classes (Lecture Notes in Mathematics)
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Holomorphic Q Classes
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