Holomorphic Q Classes
Jie Xiao (eds.)
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.
వర్గాలు:
సంవత్సరం:
2001
ముద్రణం:
1
ప్రచురణకర్త:
Springer-Verlag Berlin Heidelberg
భాష:
english
పేజీల సంఖ్య:
104
ISBN 10:
3540426256
ISBN 13:
9783540426257
పుస్తక శ్రేణి:
Lecture Notes in Mathematics 1767
ఫైల్:
DJVU, 731 KB
IPFS:
,
english, 2001
కాపీరైట్ హోల్డర్ ఫిర్యాదు కారణంగా ఈ పుస్తకం డౌన్లోడ్ చేసుకోవడానికి అందుబాటులో లేదు