On grand and small Bergman spaces

DOI10.1134/S0001434618090109zbMath1411.30043OpenAlexW2901191234WikidataQ128987327 ScholiaQ128987327MaRDI QIDQ1731479

Alexey N. Karapetyants, Stefan G. Samko

Publication date: 13 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618090109

zbMATH Keywords

Bergman projectiongrand Lebesgue spaceboundary estimatessmall Lebesgue spacegrand Bergman spacesmall Bergman space

Mathematics Subject Classification ID

Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (8)

Grand and small norms in Lebesgue spaces ⋮ A new approach to grand and small norms in discrete Lebesgue spaces ⋮ Professor Stefan G. Samko research: a decade retrospective ⋮ Composition operators in Grand Lebesgue spaces ⋮ On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces ⋮ A sharp blow-up estimate for the Lebesgue norm ⋮ Modulars from Nakano onwards ⋮ Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on Fourier coefficients

Cites Work

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• Generalization of the notion of grand Lebesgue space
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• A direct approach to the duality of grand and small Lebesgue spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Duality and reflexivity in grand Lebesgue spaces
• Embeddings between grand, small, and variable Lebesgue spaces
• On small Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• On the Lambert \(w\) function
• Commutative algebras of Toeplitz operators on the Bergman space

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