Some uniqueness theorems for \(H^p(U^n)\) functions

DOI10.2748/tmj/1178241545zbMath0239.32002OpenAlexW2081005248MaRDI QIDQ2553552

Kôzô Yabuta

Publication date: 1972

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241545

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Holomorphic functions of several complex variables (32A10) Holomorphic functions of several complex variables (32A99)

Related Items (12)

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Absolute values and real parts for functions in the Smirnov class ⋮ Verblunsky coefficients and Nehari sequences ⋮ Extremal properties of the unit ball in \(H^ 1\) ⋮ Simple matrix representations of the orthogonal polynomials for a rational spectral density on the unit circle ⋮ Strongly exposed points, Helson-Szegö weights and Toeplitz operators ⋮ Hankel operators and extremal problems in \(H^ 1\) ⋮ On the distribution of values of functions in some function classes in the abstract Hardy space theory ⋮ Funktionen mit nichtnegativem Realteil in abstrakten Hardyalgebren ⋮ Exposed points and extremal problems in \(H_ 1\) ⋮ A characterization of strongly exposed points of the unit ball of \(H^ 1\) ⋮ Exposed points and external problems in \(H^ 1\). II

Cites Work

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• Extreme points and extremum problems in \(H_1\)
• A uniqueness theorem for \(H^ p\) functions
• Extreme points and outer functions in \(H_ 1(U_ n)\)
• Remarks on extremum problems in \(H^ 1\)
• Some geometric aspects of functions of Hardy class \(H^ p\)
• On the Distribution of Values of Bounded Analytic Functions
• Unicity of the Extremum Problems in H 1 (U n )
• Analytic Functions of Class H p

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