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An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
-
Martin Fuchs
Veröffentlicht/Copyright:
4. Mai 2011
Abstract
Let ƒ : B → ℂ denote a Sobolev function of class 
defined on the unit disc. We show that the distance of ƒ to the class of all holomorphic functions measured in the norm of the space 
is bounded by the Lp-norm of theWirtinger derivative 
. As a consequence we obtain a Korn type inequality for vector fields 
.
Received: 2009-10-05
Revised: 2010-05-24
Accepted: 2010-06-07
Published Online: 2011-05-04
Published in Print: 2011-June
© de Gruyter 2011
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- Semiinfinite multiobjective fractional programming, part II: Duality models
- Wavelet characterization of Sobolev spaces with variable exponent
- Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure
- Masas in the Calkin algebra without the Continuum Hypothesis
- Existence and uniqueness results of some fractional boundary value problem
- Set-valued variational-like inclusions with H -η-accretive operators in Banach spaces
- On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection
- An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
- Comparison ODE theorems related to the method of lines
Artikel in diesem Heft
- Semiinfinite multiobjective fractional programming, part II: Duality models
- Wavelet characterization of Sobolev spaces with variable exponent
- Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure
- Masas in the Calkin algebra without the Continuum Hypothesis
- Existence and uniqueness results of some fractional boundary value problem
- Set-valued variational-like inclusions with H -η-accretive operators in Banach spaces
- On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection
- An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
- Comparison ODE theorems related to the method of lines
