Carleson measures on product domains and 2-parameter Brownian martingales

DOI10.1007/BF01200465zbMath0601.60044OpenAlexW2053300745MaRDI QIDQ1081202

Hitoshi Arai

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200465

zbMATH Keywords

Carleson measuresDirichlet domains2-parameter martingaleCarleson measures on products of two NTA domainsdouble Poisson integral operator

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Martingales and classical analysis (60G46) Measures and integrals in product spaces (28A35)

Cites Work

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• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Hardy spaces of 2-parameter Brownian martingales
• Calcul stochastique et inégalités de norme pour les martingales bi-browniennes. Application aux fonctions bi-harmoniques
• Bounded mean oscillation on the polydisk
• Carleson measure on the bi-disc
• The Helson-Szegoe theorem and A//p-functions for Brownian motion and several variables
• \(H^p\) spaces of several variables
• Interpolations by bounded analytic functions and the corona problem
• On the Poisson integral for Lipschitz and $C^{1}$-domains
• H ^p theory for the poly-disc
• Lp Estimates for (Pluri-) Subharmonic Functions.

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