Putnam's theorem, Alexander's spectral area estimate, and VMO

DOI10.1007/BF01455985zbMath0541.30021MaRDI QIDQ794798

Joel H. Shapiro, Sheldon Axler

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163962

zbMATH Keywords

bounded analytic functionunit ballvanishing mean oscillationsubnormal operatorscluster setHartogs-Rosenthal theorem

Mathematics Subject Classification ID

Related Items (7)

Self-commutator inequalities in higher dimension ⋮ Analytic Campanato spaces by functionals and operators ⋮ Pointwise multipliers and corona type decomposition in \(BMOA\) ⋮ A note on the spectral area of Toeplitz operators ⋮ Extremal domains for self-commutators in the Bergman space ⋮ Hyponormal Toeplitz operators with non-harmonic Symbol acting on the Bergman space ⋮ Duality and distance formulas in Banach function spaces

Cites Work

• Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection
• Factorization theorems for Hardy spaces in several variables
• Toeplitz operators in several complex variables
• On the local theory of Toeplitz operators
• An inequality for the area of hyponormal spectra
• Areas of projections of analytic sets
• Projections of polynomial hulls
• The Hardy Class of a Function with Slowly-Growing Area
• Functions of Vanishing Mean Oscillation
• Local Toeplitz Operators
• The Maximal Ideal Space of H^∞ + C on the ball in Cⁿ
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