On the Hilbert Transform in Bergman Space
Copyright policy )On the Hilbert Transform in Bergman Space
This paper determines the image of the Bergman \(L^2\) space of a simply connected planar domain with Jordan boundary under the Hilbert transform.
- Ufa University of Science and Technology Russian Federation
- Bashkir State Agrarian University Russian Federation
- Institute of Mathematics with Computer Center Russian Federation
- Russian Academy of Sciences Russian Federation
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), Spaces of bounded analytic functions of one complex variable, Bergman space, Special integral transforms (Legendre, Hilbert, etc.), Blaschke products, etc., Completeness problems, closure of a system of functions of one complex variable, Hilbert transform
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), Spaces of bounded analytic functions of one complex variable, Bergman space, Special integral transforms (Legendre, Hilbert, etc.), Blaschke products, etc., Completeness problems, closure of a system of functions of one complex variable, Hilbert transform
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