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  • 1. Asekritova, Irina
    A Counter-example to K-divisibility for (n+1)-Collections of Banach Spaces1988In: Studies in the Theory of of Functions of Several Real VariablesArticle in journal (Refereed)
  • 2. Asekritova, Irina
    A Real Interpolation Method for Finite Collections of Banach Spaces1981In: Studies in the Theory of Functions of Several Real VariablesArticle in journal (Refereed)
  • 3. Asekritova, Irina
    Countable Sets and Their Properties1994Other (Other academic)
  • 4.
    Asekritova, Irina
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. matematik.
    Interpolation of Approximation Spaces with Nonlinear Projectors2006In: Proceedings of the Estonian Academy of Sciences, ISSN 1406-0086, Vol. 55, no 3, p. 146-149Article in journal (Refereed)
  • 5.
    Asekritova, Irina
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. matematik.
    Invertibility of Operators in Spaces of Real Interpolation2008In: Revista Matematica Complutense, ISSN 1139-1138, Vol. 21, no 1, p. 207-217Article in journal (Refereed)
  • 6. Asekritova, Irina
    On K-functional of the Couple (K_ {Φ₀}(X),K_{Φ₁}(X))1980In: Theory of Functions of Several Real VariablesArticle in journal (Refereed)
  • 7. Asekritova, Irina
    On Some Properties of General Approximation Spaces1982Report (Other academic)
  • 8. Asekritova, Irina
    On Some Properties of General Approximation Spaces1982In: Doklady Akademii Nauk, ISSN 0869-5652, Vol. 2Article in journal (Refereed)
  • 9.
    Asekritova, Irina
    Voronezh State University.
    Real Method of Interpolation for Finite Collections of Banach Spaces1984Doctoral thesis, monograph (Other academic)
  • 10.
    Asekritova, Irina
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Regularization Theory and Real Interpolation2008Conference paper (Other (popular science, discussion, etc.))
  • 11. Asekritova, Irina
    Selected Problems in Theory of Functions of One Complex Variables1998Other (Other academic)
  • 12. Asekritova, Irina
    The Holmstedt Formula and an Equivalence Theorem for (n+1)-Collections of Banach Spaces1980In: Quantitative and Approximate Methods for the Investigation of Operator EquationsArticle in journal (Refereed)
  • 13. Asekritova, Irina
    The Property of K-divisibility of Finite Collections of Banach Spaces1984In: Studies in the Theory of Functions of Several Real VariablesArticle in journal (Refereed)
  • 14. Asekritova, Irina
    Theorem of Reiteration and K-divisibility of (n+1)-Tuples of Banach Spaces1992In: Funct. Approx. Comment. Math., no 20, p. 171-175Article in journal (Refereed)
  • 15. Asekritova, Irina
    Weak K-Divisibility of (n+1)-Collections of Banach Spaces1990In: Studies in the Theory of Functions of Several Real Variables, p. 15-21Article in journal (Refereed)
  • 16.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Brudnyi, Yuri
    Technion, Haifa, Israel.
    Interpolation of Multiparameter Approximation Spaces2004In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 129, no 2, p. 182-206Article in journal (Refereed)
  • 17.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Cerdá, Joan
    Barcelona University, Spain.
    Kruglyak, Natan
    Linköping University.
    The Riesz-Herz equivalence for capacitary maximal functions2012In: Revista Matemática Complutense, ISSN 1139-1138, Vol. 25, no 1, p. 43-59Article in journal (Refereed)
    Abstract [en]

    We prove a Riesz-Herz estimate for the maximal function associated toa capacity ConRn,MCf(x)=supQxC(Q)−1Q|f|, which extends the equivalence (Mf )∗(t)f∗∗(t) for the usual Hardy-Littlewood maximal function Mf. The proof is based on an extension of the Wiener-Stein estimates for the distribution function of the maximal function, obtained using a convenient family of dyadiccubes. As a byproduct we obtain a description of the norm of the interpolationspace (L1,L1,C)1/p,p,  where L1,C denotes the Morrey space based on a capacity.

  • 18. Asekritova, Irina
    et al.
    Kruglyak, Natan
    Elements of Functional Analysis in Problems1997Other (Other academic)
  • 19.
    Asekritova, Irina
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. matematik.
    Kruglyak, Natan
    Interpolation of Besov and Sobolev Spaces in the Non-Diagonal Case2006In: Constructive Theory of Functions: Proceedings of International Conference, Varna, 2006, p. 45-50Conference paper (Refereed)
  • 20.
    Asekritova, Irina
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. matematik.
    Kruglyak, Natan
    Interpolation of Besov Spaces in the Non-Diagonal Case2006In: Algebra and Analysis, ISSN 1061-0022, Vol. 18, no 4, p. 1-9Article in journal (Refereed)
  • 21.
    Asekritova, Irina
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Kruglyak, Natan
    On Equivalemce of K- and J-Methods for (n+1)-Tuples of Banach Spaces1997In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 122, no 2, p. 99-116Article in journal (Refereed)
  • 22.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Kruglyak, Natan
    Real Interpolation of Vector-Valued Spaces in Non-Diagonal Case2005In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 133, no 6, p. 1665-1675Article in journal (Refereed)
  • 23.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Kruglyak, Natan
    The Besikovitch Covering Theorem and Near Minimizers for the Couple (L2,BV)2010In: Proceedings of the Estonian Academy of Sciences: Physics, Mathematics, ISSN 1406-0086, E-ISSN 2228-0685, Vol. 59, no 1, p. 29-33Article in journal (Refereed)
  • 24.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Kruglyak, Natan
    Maligranda, Lech
    Persson, Lars-Erik
    Distribution and Rearranement Estimates of the Maximal Functions and Interpolation1997In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 124, no 2, p. 107-132Article in journal (Refereed)
  • 25.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Kruglyak, Natan
    Nikolova, Ludmila
    Lizorkin-Freitag Formula for Several Weighted Lp Spaces and Vector-Valued Interpolation2005In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 170, no 3, p. 227-239Article in journal (Refereed)
  • 26.
    Asekritova, Irina
    et al.
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Nikolova, Ludmila
    Sofia University, Sofia, Bulgaria.
    Kruglyak, Natan
    Luleå University of Technology, Luleå, Sweden.
    Maligranda, Lech
    Luleå University of Technology, Luleå, Sweden.
    Persson, Lars-Erik
    Luleå University of Technology, Luleå, Sweden.
    Lions-Peetre Reiteration Formulas for Triples and Their Application2001In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 145, no 3, p. 219-254Article in journal (Refereed)
  • 27.
    Asekritova, Irina
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Nilsson, Börje
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Rydström, Sara
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Diffractive Index Determination by Tikhonov Regularization on Forced String Vibration Data2009In: Mathematical modelling of wave phenomena: 3rd Conference on Mathematical Modelling of Wave Phenomena, Växjö, Sweden, 9-13 June 2008, Melville, New York: American Institute of Physics , 2009, p. 224-232Conference paper (Refereed)
    Abstract [en]

    Wave analysis is efficient for investigating the interior of objects. Examples are ultra sound examination of humans and radar using elastic and electromagnetic waves. A common procedure is inverse scattering where both transmitters and receivers are located outside the object or on its boundary. A variant is when both transmitters and receivers are located on the scattering object. The canonical model is a finite inhomogeneous string driven by a harmonic point force. The inverse problem for the determination of the diffractive index of the string is studied. This study is a first step to the problem for the determination of the mechanical strength of wooden logs. An inverse scattering theory is formulated incorporating two regularizing strategies. The results of simulations using this theory show that the suggested method works quite well and that the regularization methods based on the couple of spaces (L2; H1 ) could be very useful in such problems.

     

     

  • 28. Asekritova, Irina
    et al.
    Smirnov, Evgenij
    Computer Based Training and Testing for Teaching Mathematical Analysis1990In: Proceedings of the Conference Intencification of training of teachers in Mathematics, 1990Conference paper (Refereed)
1 - 28 of 28
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