On peak sets for Lip \(\alpha\) classes

DOI10.1016/0022-1236(89)90068-2zbMath0682.46018OpenAlexW2094704141MaRDI QIDQ1824157

Thomas H. Wolff, Alan V. Noell

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90068-2

zbMATH Keywords

peak setCantor type setsLip \(\alpha \) classes

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Moment problems and interpolation problems in the complex plane (30E05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

On Kolmogorov's theorem, the Hardy-Littlewood maximal function and the radial maximal function, Modulus support functionals, Rajchman measures and peak functions, An Example of a Hilbert Transform, Analytic continuation and stability of operator semigroups, Conformal Distortion of Boundary Sets, Peak sets and boundary interpolation sets for the unit disc: a survey

Cites Work

• On Kolmogorov's theorem, the Hardy-Littlewood maximal function and the radial maximal function
• Sets of uniqueness for the Gevrey classes
• Sets of uniqueness for functions regular in the unit circle
• FREE INTERPOLATION SETS FOR HÖLDER CLASSES
• Boundary Interpolation Sets for Holomorphic Functions Smooth to the Boundary and BMO
• Peak Sets for Lipschitz Functions
• On the Convergence of Poisson Integrals
• The Union of Peak Sets for Banach Function Algebras
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