On moduli of p-continuity

• Published in: Acta mathematica Hungarica Vol. 137; no. 3; pp. 191 - 213
• Main Authors: Kolyada, V. I., Lind, M.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.11.2012
• Subjects: class of functions; embedding; fractional smoothness; Matematik; Mathematics; Mathematics and Statistics; modulus of p-continuty; p-variation; modulus of; 46E35; fractional smoothness; class of functions; 46E30; continuity; 26B35; embedding; variation

Moduli of p -continuity provide a measure of fractional smoothness of functions via p -variation. We prove a sharp estimate of the modulus of p -continuity in terms of the modulus of q -continuity (1< p < q <∞).