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Matematicheskie Zametki, 2011, Volume 89, Issue 1, Pages 145–148
DOI: https://doi.org/10.4213/mzm8927 (Mi mzm8927) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Brief Communications

The Rate of Convergence of Steklov Means on Metric Measure Spaces and Hausdorff Dimension

V. G. Krotov, M. A. Prokhorovich

Belarusian State University, Minsk
Full-text PDF (360 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/mzm8927
Keywords: Steklov mean, Hausdorff dimension, metric measure space, Borel measure, Hölder class.
Received: 18.05.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 1, Pages 156–159
DOI: https://doi.org/10.1134/S0001434611010202
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Krotov, M. A. Prokhorovich, “The Rate of Convergence of Steklov Means on Metric Measure Spaces and Hausdorff Dimension”, Mat. Zametki, 89:1 (2011), 145–148; Math. Notes, 89:1 (2011), 156–159
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm8927
  • https://doi.org/10.4213/mzm8927
  • https://www.mathnet.ru/eng/mzm/v89/i1/p145
    • This publication is cited in the following 7 articles:
    1. Bondarev S.A., Krotov V.G., “Fine Properties of Functions From Hajlasz-Sobolev Classes M-Alpha(P), P > 0, II. Lusin'S Approximation”, J. Contemp. Math. Anal.-Armen. Aca., 52:1 (2017), 30–37  crossref  mathscinet  zmath  isi  scopus
    2. Prudnikov I.M., “Subdifferentials of the First and Second Orders for Lipschitz Functions”, J. Optim. Theory Appl., 171:3 (2016), 906–930  crossref  mathscinet  zmath  isi  elib  scopus
    3. Bondarev S.A., Krotov V.G., “Fine properties of functions from Hajłasz–Sobolev classes $M_{\alpha}^p$, $p>0$, I. Lebesgue points”, J. Contemp. Math. Anal.-Armen. Aca., 51:6 (2016), 282–295  crossref  mathscinet  zmath  isi  scopus
    4. E. V. Gubkina, M. A. Prokhorovich, Ya. M. Radyna, “Generalized Hajłasz–Sobolev classes on ultrametric measure spaces with doubling condition”, Siberian Math. J., 56:5 (2015), 822–826  mathnet  crossref  crossref  isi  elib  elib
    5. Veniamin G. Krotov, “Maximal Functions Measuring Smoothness”, Recent Advances in Harmonic Analysis and Applications, Springer Proceedings in Mathematics & Statistics, 25, Springer, New York, 2013, 197–223  crossref  mathscinet  zmath  scopus
    6. M. A. Prokhorovich, E. M. Radyno, “Skorost skhodimosti srednikh Steklova dlya klassov Soboleva na prostranstve $p$-adicheskikh chisel”, Dokl. NAN Belarusi, 55:5 (2011), 5–8  mathscinet  zmath
    7. I. M. Prudnikov, Sposob opredeleniya obobschennykh gradientov i obobschennykh matrits vtorykh chastnykh proizvodnykh lipshitsevoi funktsii s pomoschyu integrala Steklova, arXiv: 1307.6015
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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