6533b7d0fe1ef96bd125a48e
RESEARCH PRODUCT
Fractional integration, differentiation, and weighted Bergman spaces
Stephen M. BuckleyPekka KoskelaDragan Vukotićsubject
Pure mathematicsMathematics::Complex VariablesGeneral Mathematics010102 general mathematicsMathematical analysisMathematical statisticsTaylor coefficientsMathematics & Statistics01 natural sciencesAction (physics)010101 applied mathematicsFractional differentiationBergman space0101 mathematicsMathematicsBergman kerneldescription
We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coeffficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results. Univalent Bergman functions are also considered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-03-01 |