Bounded mean oscillation on the bidisk and the operator BMO

DOI10.1006/jfan.2001.3822zbMath1010.47017OpenAlexW1990060587MaRDI QIDQ1614761

Cora Sadosky, Sandra Pott

Publication date: 8 September 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3822

zbMATH Keywords

Hankel operatorsBMO spaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (9)

Carleson's counterexample and a scale of Lorentz-BMO spaces on the bitorus ⋮ Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions ⋮ Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO ⋮ Commutators, BMO, Hardy spaces and factorization: a survey ⋮ Paraproducts and Hankel operators of Schatten class via \(p\)-John--Nirenberg theorem ⋮ Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators ⋮ Embeddings between operator-valued dyadic BMO spaces ⋮ Dyadic \(BMO\) on the bidisk ⋮ Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions

Cites Work

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• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Bounded mean oscillation on the polydisk
• Factorization theorems for Hardy spaces in several variables
• Carleson measure on the bi-disc
• Nehari and Nevanlinna-Pick problems and holomorphic extensions in the polydisk in terms of restricted BMO
• Matrix valued paraproducts
• Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures
• Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts
• LOGARITHMIC GROWTH FOR MATRIX MARTINGALE TRANSFORMS
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• Counterexample to the infinite dimensional carleson embedding theorem
• Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
• Boundedness of Hankel Matrices
• Characterizations of bounded mean oscillation

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