Holomorphic Q Classes
1 edition
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Word Count
28,000 words, Guess
Page Count
112 pages
Physical Format
Paperback
Identifiers
- Internet Archiveholomorphicqclas00xiao
- Internet Archiveholomorphicqclas00xiao_063
- Internet Archiveholomorphicqclas00xiao_343
- Internet Archiveholomorphicqclas0000xiao
- ISBN-103540426256
and 5 more
- ISBN-139783540426257
- Library of Congress Control Number2001049621
- OCLC Control Number47996314
- Better World Books9783540426257
- Open LibraryOL9057453M
Classifications
- LCCQA3 .L28 no. 1767
- LCCQA331.7 .L28 no. 1767
- LCCQA1-939
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.
Subjects
Topics
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