Abstract
We give an elementary proof for the integrability properties of the gradient of the harmonic extension of a self homeomorphism of the circle giving explicit bounds for the p-norms, p < 2, estimates in Orlicz classes and also an L2(D)-weak type estimate.
Original language | English (US) |
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Pages (from-to) | 145-152 |
Number of pages | 8 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 11 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2009 |
Keywords
- Harmonic mapping
- Mean distortion
- Weak type estimates
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics