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Russian Mathematical Surveys, 1989, Volume 44, Issue 5, Pages 73–117
DOI: https://doi.org/10.1070/RM1989v044n05ABEH002287
(Mi rm1895)
 

This article is cited in 35 scientific papers (total in 35 papers)

Rearrangements of functions and embedding theorems

V. I. Kolyada
References:
Received: 08.02.1989
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Original paper language: Russian
Citation: V. I. Kolyada, “Rearrangements of functions and embedding theorems”, Russian Math. Surveys, 44:5 (1989), 73–117
Citation in format AMSBIB
\Bibitem{Kol89}
\by V.~I.~Kolyada
\paper Rearrangements of functions and embedding theorems
\jour Russian Math. Surveys
\yr 1989
\vol 44
\issue 5
\pages 73--117
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\crossref{https://doi.org/10.1070/RM1989v044n05ABEH002287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1040269}
\zmath{https://zbmath.org/?q=an:0715.41050}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1989RuMaS..44...73K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989DQ74300003}
Linking options:
  • https://www.mathnet.ru/eng/rm1895
  • https://doi.org/10.1070/RM1989v044n05ABEH002287
  • https://www.mathnet.ru/eng/rm/v44/i5/p61
  • This publication is cited in the following 35 articles:
    1. Sorina Barza, Javier Soria, Applied and Numerical Harmonic Analysis, The Mathematical Heritage of Guido Weiss, 2025, 35  crossref
    2. Óscar Domínguez, Sergey Tikhonov, “New estimates for the maximal functions and applications”, Trans. Amer. Math. Soc., 375:6 (2022), 3969  crossref
    3. Giovanni Barbarino, Davide Bianchi, Carlo Garoni, “Constructive approach to the monotone rearrangement of functions”, Expositiones Mathematicae, 40:1 (2022), 155  crossref
    4. E. A. Pavlov, A. I. Furmenko, “O nekotorykh teoremakh vlozheniya idealnykh struktur”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2021, no. 73, 30–41  mathnet  crossref
    5. Zdeněk Mihula, “Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space”, Math. Z., 298:3-4 (2021), 1623  crossref
    6. G. A. Akishev, “Otsenki nailuchshikh priblizhenii funktsii klassa Nikolskogo - Besova v prostranstve Lorentsa trigonometricheskimi polinomami”, Tr. IMM UrO RAN, 26, no. 2, 2020, 5–27  mathnet  crossref  elib
    7. Gabdolla Akishev, “Estimates of best approximations of functions with logarithmic smoothness in the Lorentz space with anisotropic norm”, Ural Math. J., 6:1 (2020), 16–29  mathnet  crossref  mathscinet  zmath
    8. E. D. Kosov, “Besov classes on finite and infinite dimensional spaces”, Sb. Math., 210:5 (2019), 663–692  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. V. S. Klimov, “Izoperimetricheskie i funktsionalnye neravenstva”, Model. i analiz inform. sistem, 25:3 (2018), 331–342  mathnet  crossref  elib
    10. Kosov E.D., “A Characterization of Besov Classes in Terms of a New Modulus of Continuity”, Dokl. Math., 96:3 (2017), 587–590  crossref  isi
    11. Mario Milman, Association for Women in Mathematics Series, 4, Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1), 2016, 233  crossref
    12. Ruslan Shanin, “Equimeasurable rearrangements of functions satisfying the reverse Hölder or the reverse Jensen inequality”, Ricerche mat, 2015  crossref
    13. Norisuke Ioku, Michinori Ishiwata, “On a variational problem associated with a Hardy type inequality involving a mean oscillation”, Calc. Var., 54:4 (2015), 3949  crossref
    14. K. Suleimenov, N. N. Tashatov, “On the embedding of anisotropic Nikol'skiД­-Besov mixed norm spaces”, Siberian Math. J., 55:2 (2014), 356–371  mathnet  crossref  mathscinet  isi
    15. Joaquim Martín, Mario Milman, Springer Proceedings in Mathematics & Statistics, 108, Special Functions, Partial Differential Equations, and Harmonic Analysis, 2014, 163  crossref
    16. G. E. Karadzhov, Qaisar Mehmood, “Optimal Regularity Properties of the Generalized Sobolev Spaces”, Journal of Function Spaces and Applications, 2013 (2013), 1  crossref
    17. Z. Bashir, G. E. Karadzhov, “Optimal embeddings of generalized Besov spaces”, Eurasian Math. J., 2:1 (2011), 5–31  mathnet  mathscinet  zmath
    18. Amiran Gogatishvili, Luboš Pick, Jan Schneider, “Characterization of a rearrangement-invariant hull of a Besov space via interpolation”, Rev Mat Complut, 2011  crossref
    19. Martin J., Milman M., “Pointwise Symmetrization Inequalities for Sobolev Functions and Applications”, Adv. Math., 225:1 (2010), 121–199  crossref  isi
    20. Luboš Pick, International Mathematical Series, 13, Around the Research of Vladimir Maz'ya III, 2010, 279  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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