Small Hankel operators on generalized weighted Fock spaces

DOI10.1090/proc/16534zbMath1525.47057OpenAlexW4377990243MaRDI QIDQ6095814

Carmen Cascante, Daniel Pascuas, Joan Fàbrega

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2445/200325

zbMATH Keywords

small Hankel operators\(\mathcal{A}_{p}^{l}\) weightgeneralised weighted Fock spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces and Fock spaces (30H20)

Cites Work

• Bergman-type projections in generalized Fock spaces
• Two weight inequality for Bergman projection
• Hankel forms and the Fock space
• Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by \(A_{\infty}\)-type weights
• Boundedness of the Bergman projection on generalized Fock-Sobolev spaces on \(\mathbb{C}^n\)
• Muckenhoupt type weights and Berezin formulas for Bergman spaces
• Sharp Békollé estimates for the Bergman projection
• Analysis on Fock Spaces
• Weighted Bergman spaces induced by rapidly incresing weights
• Inégalités à poids pour le projecteur de Bergman dans la boule unité de $C^{n}$
• Hankel bilinear forms on generalized Fock–Sobolev spaces on C^n
• Invertible Toeplitz products, weighted norm inequalities, and $\mathrm{A}_p$ weights
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