Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces
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Publication:1677970
DOI10.1515/fca-2017-0059zbMath1386.30052OpenAlexW2767602735MaRDI QIDQ1677970
Stefan G. Samko, Alexey N. Karapetyants
Publication date: 14 November 2017
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10400.1/11832
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach spaces of continuous, differentiable or analytic functions (46E15) Bergman spaces and Fock spaces (30H20)
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Cites Work
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- Weighted Adams type theorem for the Riesz fractional integral in generalized Morrey space
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
- Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
- Mixed norm Bergman-Morrey-type spaces on the unit disc
- Lebesgue and Sobolev spaces with variable exponents
- Hardy type operators in local vanishing Morrey spaces on fractal sets
- Bergman projections and duality in weighted mixed-norm spaces of analytic functions
- Dynamics of properties of Toeplitz operators with radial symbols
- Local function spaces, heat and Navier-Stokes equations
- A characterization of the inclusions between mixed norm spaces
- Commutative algebras of Toeplitz operators on the Bergman space
- The dual of an inequality of Hardy and Littlewood and some related inequalities
- Fractional integrals and derivatives: mapping properties
- Characterization of weighted analytic Besov spaces in terms of operators of fractional differentiation
- Mixed-Norm Generalizations of Bergman Spaces and Duality
- A class of integral operators on mixed norm spaces in the unit ball
- Boundedness of the Bergman projections on Lp spaces with radial weights
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Bounded projections and duality in mixed-norm spaces of analytic functions
- Boundedness of the Bergman type operators on mixed norm spaces
- Sarason Conjecture on the Bergman Space
- Morrey-Campanato Spaces: an Overview
- Mixed norm variable exponent Bergman space on the unit disc
