Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups

DOI10.1016/0022-1236(79)90087-9zbMath0428.41004OpenAlexW2094415683MaRDI QIDQ1137195

Steven G. Krantz

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90087-9

zbMATH Keywords

Hardy spacesapproximation theorynilpotent Lie groupsLipschitz spacesseveral complex variablescampanato spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Banach spaces of continuous, differentiable or analytic functions (46E15) Functions of several variables (26B99) Higher-dimensional potential theory (31B99)

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Cites Work

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• Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the \(\overline\partial\) and \(\overline\partial_b\) equations
• The atomic decomposition for Hardy spaces in several complex variables
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Singular integrals and estimates for the Cauchy-Riemann equations
• The Elementary Cases of Landau's Problem of Inequalities Between Derivatives

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