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Some results on Qp spaces, 0 < p < 1, continued
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Jie Xiao
Published/Copyright:
July 27, 2005
Abstract
The purpose of this paper is to continue the study of the so-called holomorphic Q classes via two conformal deformations of the fractional image area of a holomorphic function on the open unit disk. Results include fractional order Carleson measures, embeddings of Choquet spaces with respect to Hausdorff capacities, preduals, strong isoperimetric inequalities, boundary values, harmonic extensions, Brownian motions, function modules, value distributions, and harmonic majorants of solutions to Euler-Lagrange differential equation subject to finite conformally invariant energy with fractional order.
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Published Online: 2005-07-27
Published in Print: 2005-05-01
© de Gruyter
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Articles in the same Issue
- Hecke operators on rational functions I
- n-Cotilting and n-tilting modules over ring extensions
- Reduction for the projective arclength functional
- Extensions, dilations and functional models of Dirac operators in limit-circle case
- Numerical constraints for embedded projective manifolds
- Some results on Qp spaces, 0 < p < 1, continued
- On the probabilistic ζ-function of pro(finite-soluble) groups
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