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  • 1.
    Arendarenko, Larissa
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics.
    Oinarov, Ryskul
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    On the boundedness of some classes of integral operators in weighted Lebesgue spaces2012In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 3, no 1, p. 5-17Article in journal (Refereed)
  • 2.
    Chechkin, Gregory
    et al.
    Moscow Lomonosov State University.
    Koroleva, Yulia
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Wall, Peter
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    A new weighted Friedrichs-type inequality for a perforated domain with a sharp constant2011In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 2, no 1, p. 81-103Article in journal (Refereed)
    Abstract [en]

    We derive a new three-dimensional Hardy-type inequality for a cube for the class of functions from the Sobolev space $H^1$ having zero trace on small holes distributed periodically along the boundary. The proof is based on a careful analysis of the asymptotic expansion of the first eigenvalue of a related spectral problem and the best constant of the corresponding Friedrichs-type inequality.

  • 3.
    Johansson, Maria
    et al.
    Luleå University of Technology, Department of Arts, Communication and Education, Education, Language, and Teaching.
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Scales of equivalent integral conditions related to Hardy type inequalities with applications2007In: Eurasian Mathematical Journal, ISSN 2077-9879, no 3, p. 22-31Article in journal (Refereed)
  • 4.
    Kopezhanova, Aigerim N.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. Faculty of Mechanics and Mathematics L. N. Gumilyov, Eurasian National University.
    Some new inequalities for the fourier transform for functions in generalized Lorentz spaces2017In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 8, no 1, p. 58-66Article in journal (Refereed)
    Abstract [en]

    The classical Hausdorff-Young and Hardy-Littlewood-Stein inequalities, relating functions on ℝ and their Fourier transforms, are extended and complemented in various ways. In particular, a variant of the Hardy-Littlewood-Stein inequality covering the case p ≥2 is proved and two-sided estimates are derived.

  • 5.
    Kopezhanova, Algerim
    et al.
    Faculty of Mechanics and Mathematics L. N. Gumilyov Eurasian National University, Astana, Kazakhstan.
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    On summability of the Fourier coefficients in bounded orthonormal systems for functions from some Lorentz type spaces2010In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 1, no 2, p. 76-85Article in journal (Refereed)
    Download full text (pdf)
    FULLTEXT01
  • 6.
    Ospanov, K.N.
    et al.
    Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University.
    Akhmetkaliyeva, Raya D.
    Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University.
    Some inequalities for second order differential operators with unbounded drift2015In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 6, no 2, p. 63-74Article in journal (Refereed)
    Abstract [en]

    We study coercive estimates for some second-order degenerate and damped differential operators with unbounded coefficients. We also establish the conditions for invertibility of these operators.

  • 7.
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    The way to the top of science of professor R. Oinarov: Dedicated to the 70th birthday of Professor Ryskul Oinarov2017In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 8, no 2, p. 9-21Article in journal (Refereed)
    Download full text (pdf)
    fulltext
  • 8. Sarybekova, Lyazzat
    et al.
    Tleukhanova, N.
    Fourier series multiplers by regular system2007In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 1, p. 96-102Article in journal (Refereed)
  • 9.
    Stepanov, V. D.
    et al.
    Steklov Institute of Mathematics, Moscow, Russia; Department of Nonlinear Analysis and Optimization, RUDN University, Moscow, Russia.
    Shambilova, Guldarya E.
    Department of Mathematics, Financial University under the Government of the Russian Federation, Moscow, Russia.
    On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions2017In: Eurasian Mathematical Journal, ISSN 2077-9879, Vol. 8, no 2, p. 47-73Article in journal (Refereed)
    Abstract [en]

    We solve the characterization problem of Lp v -Lr p weighted inequalities on Lebesgue cones of monotone functions on the half-axis for quasilinear integral operators of iterated type with Oinarov's kernels.

1 - 9 of 9
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