A weighted estimate for the square function on the unit ball in \(\mathbb C^n\)

DOI10.1007/s11512-007-0050-0zbMath1147.32009arXivmath/0701852OpenAlexW2078203177WikidataQ60141966 ScholiaQ60141966MaRDI QIDQ942032

Stefanie Petermichl, Brett D. Wick

Publication date: 3 September 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701852

zbMATH Keywords

area integralCauchy transformBellman functionssquare function on the unit ball in \({\mathbb C}^n\)weighted \(L_2\)-estimate

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Functional analysis techniques applied to functions of several complex variables (32A70) Singular integrals of functions in several complex variables (32A55) Harmonic analysis of several complex variables (32A50)

Related Items

Bilinear forms on weighted Besov spaces ⋮ Toeplitz operators on weighted Hardy and Besov spaces

Cites Work

• The theory of weights and the Dirichlet problem for elliptic equations
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• A sharp estimate on the norm of the martingale transform
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• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
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• The sharp weighted bound for the Riesz transforms
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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