Search results for "Global analytic function"

showing 2 items of 2 documents

Fredholm composition operators on algebras of analytic functions on Banach spaces

2010

AbstractWe prove that Fredholm composition operators acting on the uniform algebra H∞(BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsSpectral theoryApproximation propertyFredholm operatorGlobal analytic functionFinite-rank operatorFredholm integral equationFredholm operatorCompact operatorFredholm theorysymbols.namesakesymbolsComposition operatorBounded analytic functionAnalysisMathematicsJournal of Functional Analysis
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Lipschitz classes and the Hardy-Littlewood property

1993

We study the geometry of plane domains and the uniform Holder continuity properties of analytic functions.

Pure mathematicsPlane (geometry)General Mathematics010102 general mathematicsGlobal analytic functionMathematical analysis020206 networking & telecommunications02 engineering and technology16. Peace & justiceLipschitz continuity01 natural sciencesQuasi-analytic function0202 electrical engineering electronic engineering information engineeringAnalytic capacityNon-analytic smooth function0101 mathematicsAlgebraic geometry and analytic geometryMathematicsAnalytic functionMonatshefte für Mathematik
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