Oscillation of Generalized Differences of Hölder and Zygmund Functions

dc.contributor.author	Castro, Alejandro J.
dc.date.accessioned	2025-08-18T10:59:47Z
dc.date.available	2025-08-18T10:59:47Z
dc.date.issued	2017-06-20
dc.description.abstract	We analyze the oscillation of functions with Hölder or Zygmund regularity via generalized differences and show that its growth obeys a variant of Kolmogorov’s Law of the Iterated Logarithm. A sharper behavior is obtained for Lipschitz functions through a connection with Calderón–Zygmund operators.	en
dc.identifier.citation	Castro, A.J.; Llorente, J.G.; Nicolau, A. (2018). Oscillation of Generalized Differences of Hölder and Zygmund Functions. Journal of Geometric Analysis, 28(2), 1–22. DOI: 10.1007/s12220-017-9882-4	en
dc.identifier.doi	10.1007/s12220-017-9882-4
dc.identifier.other	Filename:10.1007_s12220-017-9882-4.pdf
dc.identifier.uri	https://doi.org/10.1007/s12220-017-9882-4
dc.identifier.uri	https://nur.nu.edu.kz/handle/123456789/9282
dc.language.iso	en
dc.publisher	Springer
dc.relation.ispartof	Journal of Geometric Analysis	en
dc.source	Journal of Geometric Analysis, 28(2), 1–22, (2017)	en
dc.subject	Calderón–Zygmund operators	en
dc.title	Oscillation of Generalized Differences of Hölder and Zygmund Functions	en
dc.type	Journal Article	en

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