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Showing 1-20 of 154 results

  1. Hardy–Sobolev Inequalities For Riesz Potentials Of Functions In Orlicz Spaces

    We establish a Hardy–Sobolev inequality for Riesz potentials of functions in Orlicz spaces.

    Y. Mizuta, T. Shimomura in Acta Mathematica Hungarica
    Article 13 December 2023

  2. Decay Rate of the Eigenvalues of the Neumann-PoincarĂŠ Operator

    If the boundary of a domain in three dimensions is smooth enough, then the decay rate of the eigenvalues of the Neumann-PoincarĂŠ operator is known...

    Shota Fukushima, Hyeonbae Kang, Yoshihisa Miyanishi in Potential Analysis
    Article 22 December 2023

  3. Implementation of Fractional Optimal Control Problems in Real-World Applications

    In this article, we aim to analyze a mathematical model of tumor growth as a problem of fractional optimal control. The considered fractional-order...

    Neelam Singha in Fractional Calculus and Applied Analysis
    Article 31 December 2020

  4. Riesz Potentials and Orthogonal Radon Transforms on Affine Grassmannians

    We establish intertwining relations between Riesz potentials associated with fractional powers of minus-Laplacian and orthogonal Radon transforms R j , k ...

    Boris Rubin, Yingzhan Wang in Fractional Calculus and Applied Analysis
    Article 01 April 2021

  5. New Gaussian Riesz transforms on variable Lebesgue spaces

    We give sufficient conditions on the exponent p : ℝ d → [1, ∞) for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue...

    E. Dalmasso, R. Scotto in Analysis Mathematica
    Article 03 March 2022

  7. k-Hankel Gabor Transform and Its Applications to the Theory of Localization Operators

    We introduce and study the k -Hankel Gabor transform. We investigate the localization operators for this transform. In particular, we study their...

    H. Mejjaoli, S. Ben SaĂŻd in Analysis Mathematica
    Article 08 July 2021

  8. Existence of Mild Solution of a Class of Nonlocal Fractional order Differential Equation with not Instantaneous Impulses

    In this article, we establish a set of sufficient conditions for the existence of mild solution of a class of fractional differential equations with...

    Jayanta Borah, Swaroop Nandan Bora in Fractional Calculus and Applied Analysis
    Article 01 April 2019

  10. Mathematical and numerical analysis of radiative heat transfer in semi-transparent media

    This paper is concerned with mathematical and numerical analysis of the system of radiative integral transfer equations. The existence and uniqueness...

    Yao-Chuang Han, Yu-Feng Nie, Zhan-Bin Yuan in Applications of Mathematics
    Article 23 February 2019

  11. Frequency-Distributed Representation of Irrational Linear Systems

    The present work extends and generalizes the notion of frequency-distributed (FD) representation to a broad class of linear, stationary,...

    Milan R. Rapaić, Tomislav B. Šekara, Marko Č. Bošković in Fractional Calculus and Applied Analysis
    Article 01 October 2018

  12. On the Maximal Directional Hilbert Transform

    I. Łaba, A. Marinelli, M. Pramanik in Analysis Mathematica
    Article 29 April 2019

  13. Factorization of Singular Integral Operators with a Carleman Backward Shift: The Vector Case

    On the vector Lebesgue space on the unit circle $${L}^{n}_{p} ({p} \in (1,...
    Amarino B. Lebre, Juan S. RodrĂ­guez in Operator Theory, Operator Algebras, and Matrix Theory
    Chapter 2018

  14. Pseudodifferential operators with compound non-regular symbols

    The boundedness and compactness of Fourier pseudodifferential operators with compound symbols in subclasses of...
    Yuri I. Karlovich in The Diversity and Beauty of Applied Operator Theory
    Conference paper 2018

  15. The Twofold Ellis–Gohberg Inverse Problem in an Abstract Setting and Applications

    In this paper we consider a twofold Ellis–Gohberg type inverse problem in an abstract *-algebraic setting. Under natural assumptions, necessary and...
    S. ter Horst, M. A. Kaashoek, F. van Schagen in Interpolation and Realization Theory with Applications to Control Theory
    Chapter 2019

  17. Wavelet Bases and Entropy Numbers of Hardy Operator

    We obtain upper estimates of the entropy numbers of a compact Hardy integral operator in weighted spaces of Besov–Triebel–Lizorkin type with small...

    M. G. Nasyrova, E. P. Ushakova in Analysis Mathematica
    Article 16 December 2017

  19. Norms, Condition Numbers and Pseudospectra of Convolution Type Operators on Intervals

    The results in this paper describe the asymptotic behavior of convolution type operators on finite intervals as the length of these intervals tends...
    Markus Seidel in Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
    Chapter 2017

  20. Norm of the Cauchy Transform

    We pose the problem of determining the exact value of the operator norm of the Cauchy transform. A lower bound of the norm is presented.

    Congwen Liu in Integral Equations and Operator Theory
    Article 23 April 2016
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