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Titlebook: Operator Theory and Harmonic Analysis; OTHA 2020, Part I – Alexey N. Karapetyants,Vladislav V. Kravchenko,Hel Conference proceedings 2021

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On Reflexivity and Other Geometric Properties of Morrey Spaces, Fatou property, the reflexivity. We propose conditions for the global Morrey space . to have the Fatou property. We give an example of global Morrey spaces ., which do have not an absolutely continuous norm, and spaces . and . have an absolutely continuous norm.
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Spanne Type Characterization of Parabolic Fractional Maximal Function and Its Commutators in Parabocommutators on parabolic generalized Orlicz–Morrey spaces, res-pectively. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators.
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Eigenvalues of Tridiagonal Hermitian Toeplitz Matrices with Perturbations in the Off-diagonal Cornemn. Notice that the generating symbol depends on the order . of the matrix. This matrix family is a particular case of periodic Jacobi matrices. If |.|≤ 1, then the eigenvalues belong to [0, 4] and are asymptotically distributed as the function . on [0, .]. The situation changes drastically when |.|
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On a Riemann Boundary Value Problem with Infinite Index in the Half-plane,the real axis. The boundary condition is understood in the sense of ..(.). A necessary and sufficient condition is obtained for the normal solvability of the considered problem. The solutions are represented in explicit form.
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A Neumann Series of Bessel Functions Representation for Solutions of the Radial Dirac System,of Bessel functions uniformly convergent with respect to the spectral parameter. For the coefficients of the series convenient for numerical computation recurrent integration formulas are given. Numerical examples are presented.
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Smbat A. Aghekyan,Alexey N. Karapetyantsral component. Design methodologies are the most recent evolution in the design automation era, which started off with the introduction and subsequent usage of 978-1-4613-6192-3978-1-4615-2762-6Series ISSN 0893-3405
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