Sharp estimates of multilinear operators in the polydisk and the unit ball

DOI10.3103/S1068362308030059zbMath1151.32003OpenAlexW1984391034MaRDI QIDQ946091

B. E. Eshmatov

Publication date: 22 September 2008

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362308030059

zbMATH Keywords

Carleson measureDjrbashain spacesmultifunctional analytic expressionPoisson and Cauchy-Szegö transformsstrong factorization theorem

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (1)

О КЛАССАХ ТИПА ХАРДИ В НЕКОТОРЫХ ОБЛАСТЯХ В Cn И СВЯЗАННЫЕ С НИМИ ПРОБЛЕМЫ

Cites Work

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• Some new function spaces and their applications to harmonic analysis.
• Factorization theorems for functions in the Bergman spaces
• Hardy's inequality and embeddings in holomorphic Triebel-Lizorkin spaces
• Fatorization of tent spaces and Hankel operators
• Multilinear Calderón-Zygmund theory
• Imbedding potentials in tent spaces
• Interpolations by bounded analytic functions and the corona problem
• Multi-linear operators given by singular multipliers
• New criteria of Carleson measures for Hardy spaces and their applications
• Maximal operator and weighted norm inequalities for multilinear singular integrals

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