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This article is cited in 4 scientific papers (total in 4 papers)
Estimates for a uniform modulus of continuity of functions from symmetric spaces
E. I. Berezhnoi
Yaroslavl State University
Abstract:
We prove a multidimensional “correctability” theorem of the Oskolkov type for a function given in $\mathbb R^n$ whereby a sharp quantitative estimate for the uniform modulus of continuity of a function on “large” sets is given if an estimate of the modulus of continuity of this function in a symmetric space is known. We show that an estimate of a uniform modulus of continuity depends only on the eigenfunction of the symmetric space.
DOI:
https://doi.org/10.4213/im69
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English version:
Izvestiya: Mathematics, 1996, 60:2, 231–248
Bibliographic databases:
  
UDC:
517.5
MSC: 26A15, 46E30
Received: 14.04.1992
Citation:
E. I. Berezhnoi, “Estimates for a uniform modulus of continuity of functions from symmetric spaces”, Izv. RAN. Ser. Mat., 60:2 (1996), 3–20; Izv. Math., 60:2 (1996), 231–248
Citation in format AMSBIB
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\pages 3--20
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\jour Izv. Math.
\yr 1996
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\issue 2
\pages 231--248
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http://mi.mathnet.ru/eng/izv69https://doi.org/10.4213/im69 http://mi.mathnet.ru/eng/izv/v60/i2/p3
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This publication is cited in the following articles:
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E. I. Berezhnoi, “The Correction Theorem for Anisotropic Spaces”, Math. Notes, 70:3 (2001), 291–299
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E. I. Berezhnoi, “A Subspace of Hölder Space Consisting Only of Nonsmoothest Functions”, Math. Notes, 74:3 (2003), 316–325
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E. I. Berezhnoǐ, “A sharp extrapolation theorem for Lorentz spaces”, Siberian Math. J., 54:3 (2013), 406–418
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E. I. Berezhnoi, “Correction theorem for Sobolev spaces constructed by a symmetric space”, Proc. Steklov Inst. Math., 284 (2014), 32–49
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