An \(H^{2}\)-corona theorem on the bidisk for infinitely many functions.

DOI10.1016/S0024-3795(03)00505-6zbMath1069.30060MaRDI QIDQ1426301

Tavan T. Trent

Publication date: 14 March 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorcorona theorembidiskmatrix valued analytic function

Mathematics Subject Classification ID

Algebras of holomorphic functions of several complex variables (32A38)

Related Items

Wolff's problem of ideals in the multiplier algebra on Dirichlet space

Cites Work

• A corona theorem for countably many functions
• Estimates in Carleson's corona theorem and finitely generated ideals in an \(H^\infty\) algebra
• Interpolation problems in nest algebras
• A new estimate for the vector valued corona problem
• Estimates of solutions of the \(H^p\) and \(BMOA\) corona problem
• On contractions similar to isometries and Toeplitz operators
• The Corona Theorem as an Operator Theorem
• H ^p theory for the poly-disc
• The H p -Corona Theorem for the Polydisc
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