Bergman projections, Berezin transforms and Cauchy transform on exponential Orlicz spaces and Lorentz-Zygmund spaces
DOI10.1007/s00605-022-01757-3OpenAlexW4290860714WikidataQ115606395 ScholiaQ115606395MaRDI QIDQ2084342
Publication date: 18 October 2022
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-022-01757-3
Cauchy transformCesàro operatorHilbert matrixBerezin transformsBergman projectionsLorentz-Zygmund spaceexponential Orlicz spaces
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Bergman spaces of functions in several complex variables (32A36)
Cites Work
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- On the \(p\)-norm of the Berezin transform
- Parabolic Herz spaces and their applications
- Variations on Yano's extrapolation theorem
- Optimal norm estimate of operators related to the harmonic Bergman projection on the ball
- Norm estimate of the Cauchy transform on \(L^p(\Omega)\)
- Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
- Exponential probabilistic inequalities
- Hilbert matrix on Bergman spaces
- Extrapolation theorem on some quasi-Banach spaces
- On the Bergman space norm of the Cesàro operator
- A modified techniques of fractional-order Cauchy-reaction diffusion equation via Shehu transform
- Norm estimates of the Cauchy transform and related operators
- On extrapolation blowups in the \(l_{p}\) scale
- Notes on Fourier analysis. XXIX. An extrapolation theorem
- Martingale transforms on Banach function spaces
- Harmonic Function Theory
- Martingale versions of Yano's extrapolation inequalities
- Composition Semigroups and the Cesàro Operator OnH p
- Approximation Numbers and Entropy Numbers of Embeddings of Fractional Besov-sobolev Spaces in Orlicz Spaces
- Norms of embeddings of logarithmic Bessel potential spaces
- Exponential integrability of martingales
- Spaces of Holomorphic Functions in the Unit Ball
- On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series
- Exponential Rosenthal and Marcinkiewicz - Zygmund inequalities
- Analytic Toeplitz and Composition Operators
- Volterra-type operators from F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces
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