Viser treff 151-159 av 159

    • Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods 

      Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George; Weisz, Ferenc (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-09-17)
      The concept of Vilenkin–Lebesgue points was introduced in [12], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was proved. In this paper, we present a different (and simpler) approach to prove a similar result, which can be used to prove that the corresponding result holds also in a more general context, namely for regular Norlund and T-means.
    • Wavelet neural networks versus wavelet-based naural networks 

      Dechevski / Dechevsky, Lubomir Todorov; Tangrand, Kristoffer Meyer (Journal article; Tidsskriftartikkel; Peer reviewed, 2023)
      This is the first paper in a sequence of studies including also [#!llhm2022!#] and [#!llhm2022_1!#] in which we introduce a new type of neural networks (NNs) – wavelet-based neural networks (WBNNs) – and study their properties and potential for applications. We begin this study with a comparison to the currently existing type of wavelet neural networks (WNNs) and show that WBNNs vastly outperform ...
    • Weighted Boundedness of Certain Sublinear Operators in Generalized Morrey Spaces on Quasi-Metric Measure Spaces Under the Growth Condition 

      Samko, Natasha Gabatsuyevna (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-03-17)
      We prove weighted boundedness of Calderón–Zygmund and maximal singular operators in generalized Morrey spaces on quasi-metric measure spaces, in general non-homogeneous, only under the growth condition on the measure, for a certain class of weights. Weights and characteristic of the spaces are independent of each other. Weighted boundedness of the maximal operator is also proved in the case when ...
    • Weighted fractional Hardy operators and their commutators on generalized Morrey spaces over quasi-metric measure spaces 

      Samko, Natasha Gabatsuyevna (Journal article; Tidsskriftartikkel; Peer reviewed, 2021-11-22)
      We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure spaces for a certain class of “radial” weights. Quasi-metric measure spaces may include, in particular, sets of fractional dimentsions. We prove theorems on the boundedness of commutators with CMO coefficients of these operators. Given a domain ...
    • Weighted Hardy Operators in Complementary Morrey Spaces 

      Lukkassen, Dag; Persson, Lars Erik; Samko, Stefan (Journal article; Tidsskriftartikkel; Peer reviewed, 2012)
    • Weighted Hardy Operators in Complementary Morrey Spaces 

      Lukkassen, Dag; Persson, Lars-Erik; Samko, Stefan (Journal article; Tidsskriftartikkel; Peer reviewed, 2012-11-11)
      We study the weighted -boundedness of the multidimensional weighted Hardy-type operators and with radial type weight , in the generalized complementary Morrey spaces defined by an almost increasing function . We prove a theorem which provides conditions, in terms of some integral inequalities imposed on and , for such a boundedness. These conditions are sufficient in the general case, but we ...
    • Weighted Hardy type inequalities for supremum operators on the cones of monotone functions 

      Persson, Lars Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D. (Peer reviewed; Journal article; Tidsskriftsartikkel, 2016-09-28)
      The complete characterization of the weighted L<sup>p</sup>-L<sup>r</sup> inequalities of supremum operators on the cones of monotone functions for all 0 < p, r≤∞ is given.
    • Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces 

      Lukkassen, Dag; Persson, Lars Erik; Samko, Stefan; Wall, Peter (Journal article; Peer reviewed; Tidsskriftartikkel, 2013)
      We study the p(.) -> q(.) boundedness of weighted multidimensional Hardy-type operators H-w(alpha(.)) and H-w(alpha(.)) of variable order alpha(x), with radial weight w(vertical bar x vertical bar), from a variable exponent locally generalized Morrey space L-p(.),L-phi(.)(R-n, w) to another L-q(.),L-psi(.)(R-n, w). The exponents are assumed to satisfy the decay condition at the origin and infinity. ...
    • Well-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spaces 

      Shaimardan, Serikbol; Persson, Lars-Erik; Tokmagambetov, Niyaz (Journal article; Tidsskriftartikkel; Peer reviewed, 2023)
      In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we considern on-homogenous heat and wave equations for Rubin’s difference operator. Wellposedness results are obtained in appropriate Sobolev type spaces. In particular, we prove that the heat and wave equations generated by Rubin’s difference operator have unique solutions. We even show that ...