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- catalog abstract "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.".
- catalog contributor b12327073.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description "Fundamentel Material -- Composite Embedding -- Series Expansions -- Modified Carleson Measures -- Inner-Outer Structure -- Pseudo-holomorphic Extension -- Representation via /bar/partial-equation -- Dyadic Localization -- References -- Index.".
- catalog description "Includes bibliographical references (p. [105]-110) and index.".
- catalog description "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.".
- catalog extent "viii, 112 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540426256 (pbk. : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1767.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1767".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 515/.9 21".
- catalog subject "Functions of complex variables.".
- catalog subject "Holomorphic functions.".
- catalog subject "Mathematics.".
- catalog subject "Potential theory (Mathematics).".
- catalog subject "QA3 .L28 no. 1767 QA331.7".
- catalog tableOfContents "Fundamentel Material -- Composite Embedding -- Series Expansions -- Modified Carleson Measures -- Inner-Outer Structure -- Pseudo-holomorphic Extension -- Representation via /bar/partial-equation -- Dyadic Localization -- References -- Index.".
- catalog title "Holomorphic Q classes / Jie Xiao.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".