• Embeddings of weighted Sobolev classes on a John Domain 

  Vasil’eva, A.A. (The Eurasian National University, 2014)

  In this paper, embedding theorems for weighted Sobolev classes are obtained. Here weights are functions of distance to some h-set.
• The predual space of a JBW*-triple 

  Rakhimov, A.A. (The Eurasian National University, 2014)

  In the paper JB*-triples which are dual Banach spaces are considered as analogues of JBW*-algebras. For JBW*-triples an analogue of the classical theorem of Vitali-Hahn-Saks on convergent sequences of measures and a theorem ...
• Normal extensions of a singular differential operator on the right semi-axis 

  Ismailov, Z.I.; Ozturk Mert, R. (The Eurasian National University, 2014)

  In this work, based on the method of Everitt-Zettl and using the Calkin-Gorbachuk method, all normal extensions of the minimal operator generated by a linear singular formally normal differential-operator expression of the ...
• A new characterization of sporadic Higman-Sims and Held groups 

  Yang, Y.; Liu, S. (The Eurasian National University, 2014)
• A Suzuki type fixed point theorem for a hybrid pair of maps in partial Hausdorff metric spaces 

  Rao, K.P.R.; Rao, K.R.K. (The Eurasian National University, 2014)

  In this paper, we introduce the notion of (θ, L) generalized weak contraction for a hybrid pair of mappings in a partial metric space by using partial Hausdorff metric. The main result of the paper generalizes the main ...
• Tricomi problem for an elliptic-hyperbolic equation of the second kind 

  Mamadaliev, N.K. (The Eurasian National University, 2014)

  Unique solvability of the Triсomi problem for an elliptic-hyperbolic equation of the second kind is proved with the help of the representation of the generalized solution to a hyperbolic equation with strong degeneration.
• Injective Banach lattices: a survey 

  Kusraev, A.G. (The Eurasian National University, 2014)

  The work is aimed to survey recent results on injective Banach lattices, outline the Boolean-valued approach, and pose some open problems. The central idea of the investigation is the Boolean-valued transfer principle from ...
• Rate of approximation by modified gamma - Taylor operators 

  Izgi, A. (The Eurasian National University, 2014)
• Decompositions for local Morrey spaces 

  Batbold, Ts.; Sawano, Y. (The Eurasian National University, 2014)

  We develop and apply a decomposition theory for generic local Morrey spaces. Our results are smooth and nonsmooth decompositions, which follows from the fact that local Morrey spaces are isomorphic to local Hardy-Morrey ...
• On the spectrum of a nonlinear operator associated with calculation of the norm of a linear vector-functional 

  Burenkov, V.I.; Tararykova, T.V. (The Eurasian National University, 2014)
• The Rainwater–Simons weak convergence theorem for the Brown associated norm 

  Alimov, A.R. (The Eurasian National University, 2014)

  The Rainwater–Simons weak convergence theorem is extended to the convergence with respect to the associated norm (in the sense of Brown), the latter proved useful, inter alia, in testing the membership of a point to the ...
• Generalized potentials of double layer in plane theory of elasticity 

  Soldatov, A.P. (The Eurasian National University, 2014)

  Connected with the function-theoretic approach, generalized potentials of double layer are introduced for the Lame system of plane anisotropic elasticity theory. These potentials are constructed for the displacement vector ...
• Infiniteness of the number of eigenvalues embedded in the essential spectrum of a 2×2 operator matrix 

  Muminov, M.I.; Rasulov, T.H. (The Eurasian National University, 2014)

  In the present paper a 2 × 2 block operator matrix H is considered as a bounded self-adjoint operator in the direct sum of two Hilbert spaces. The structure of the essential spectrum of H is studied. Under some natural ...
• Mathematical model of multifractal dynamics and global warming 

  Kudinov, A.N.; Krylova, O.I.; Tsvetkov, V.P.; Tsvetkov, I.V. (The Eurasian National University, 2014)

  In this work the variations of global temperature that have occurred in the period from 1860 up to now are analyzed on the basis of the concept of multifractal dynamics. The multifractal curve describing dynamics of global ...
• Holder analysis and geometry on Banach spaces: homogeneous homeomorphisms and commutative group structures, approximation and Tsar’kov’s phenomenon. Part II 

  Ajiev, S.S. (The Eurasian National University, 2014)
• On Volterra relatively compact perturbations of the Laplace operator 

  Biyarov, B.N. (The Eurasian National University, 2014)

  We formulate the result on existence of a relatively compact perturbation of the Laplace operator which possesses the Volterra property.
• Sharp inequality of Jackson–Stechkin type and widths of functional classes in the space L2 

  Langarshoev, M.R. (The Eurasian National University, 2014)
• The real and complex techniques in harmonic analysis from the point of view of covariant transform 

  Kisil, V.V. (The Eurasian National University, 2014)

  This paper reviews complex and real techniques in harmonic analysis. We describe the common source of both approaches rooted in the covariant transform generated by the affine group.
• On a certain class of operator algebras and their derivations 

  Ayupov, Sh.A.; Abdullaev, R.Z.; Kudaybergenov, K.K. (The Eurasian National University, 2014)

  Given a von Neumann algebra M with a faithful normal finite trace, we introduce the so-called finite tracial algebra Mf as the intersection of Lp-spaces Lp(M, μ) over all p ≥ 1 and over all faithful normal finite traces μ ...
• Spaces of generalised smoothness in summability problems for Ф - means of spectral decomposition 

  Ayele, T.G.; Goldman, M.L. (The Eurasian National University, 2014)

  We establish conditions for localization of generalised Riesz means of spectral decomposition by system of fundamental functions of Laplace operator in terms of belongingness of the decomposing function to the spaces of ...

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