prikaz prve stranice dokumenta Norm variation of ergodic averages with respect to two commuting transformations
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Scientific paper - Original scientific paper
Norm variation of ergodic averages with respect to two commuting transformations
Ergodic theory & dynamical systems, 39(3) (2019); 658-688. https://doi.org/10.1017/etds.2017.48
Durcik, Polona; Kovač, Vjekoslav; Škreb, Kristina Ana; Thiele, Christoph

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Durcik, P., Kovač, V., Škreb, K. A. & Thiele, C. (2019). Norm variation of ergodic averages with respect to two commuting transformations. Ergodic theory & dynamical systems, 39(3)., 658-688. doi: 10.1017/etds.2017.48

Durcik, Polona, et al. "Norm variation of ergodic averages with respect to two commuting transformations." Ergodic theory & dynamical systems, vol. 39(3), 2019, pp. 658-688. https://doi.org/10.1017/etds.2017.48

Durcik, Polona, Vjekoslav Kovač, Kristina Ana Škreb and Christoph Thiele. "Norm variation of ergodic averages with respect to two commuting transformations." Ergodic theory & dynamical systems 39(3) (2019): 658-688. https://doi.org/10.1017/etds.2017.48

Durcik, P., et al. (2019) 'Norm variation of ergodic averages with respect to two commuting transformations', Ergodic theory & dynamical systems, 39(3), pp. 658-688. doi: 10.1017/etds.2017.48

Durcik P, Kovač V, Škreb KA, Thiele C. Norm variation of ergodic averages with respect to two commuting transformations. Ergodic theory & dynamical systems [Internet]. 2019 [cited 2024 November 27];39(3):658-688. doi: 10.1017/etds.2017.48

P. Durcik, V. Kovač, K. A. Škreb and C. Thiele, "Norm variation of ergodic averages with respect to two commuting transformations", Ergodic theory & dynamical systems, vol. 39(3), pp. 658-688, 2019. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:202840. [Accessed: 27 November 2024]

Metadata
Title (english)Norm variation of ergodic averages with respect to two commuting transformations
AuthorPolona Durcik
AuthorVjekoslav Kovač
AuthorKristina Ana Škreb
AuthorChristoph Thiele
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the problem via real harmonic analysis, using recently developed methods for bounding multilinear singular integrals with certain entangled structure. A byproduct of our proof is a bound for a two-dimensional bilinear square function related to the so-called triangular Hilbert transform.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleErgodic theory & dynamical systems
Numberingvol. 39(3), pp. 658-688
e-ISSN1469-4417
DOIhttps://doi.org/10.1017/etds.2017.48
URN:NBNurn:nbn:hr:237:202840
Publication2019
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 06:54:27