Monotone and convex restrictions of continuous functions

DOI10.1016/J.JMAA.2017.03.026zbMath1370.26010arXiv1607.03279OpenAlexW2468635245MaRDI QIDQ2400670

Zoltán Buczolich

Publication date: 29 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03279

zbMATH Keywords

Hausdorff dimensionHölder spacesMinkowski (box) dimensiontypical/generic functions

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (1)

Differentiability versus continuity: Restriction and extension theorems and monstrous examples

Cites Work

• Unnamed Item
• Unnamed Item
• On a theorem of Paul Malliavin
• Sets of convexity of continuous functions
• Upper Minkowski dimension estimates for convex restrictions
• Hausdorff measures of different dimensions are isomorphic under the continuum hypothesis
• Restrictions of continuous functions
• Typical Continuous Functions are Virtually Nonmonotone
• Convexity Conditions and Intersections with Smooth Functions
• Ramsey type theorems for real functions
• Ulam-Zahorski Problem on Free Interpolation by Smooth Functions
• Restrictions of Hölder continuous functions
• Measurable functions are of bounded variation on a set of dimension ½
• Sur les fonctions continues relativement monotones

This page was built for publication: Monotone and convex restrictions of continuous functions