Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions

DOI10.1007/s11253-019-01705-9OpenAlexW2998238072MaRDI QIDQ2100593

Yu. I. Kharkevych, D. M. Bushev, M. Imash Kyzy, Fahreddin G. Abdullayev

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01705-9

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx)

Cites Work

• Approximation of conjugate functions by generalized Abel-Poisson operators
• Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \)
• Finding solution subspaces of the Laplace and heat equations isometric to spaces of real functions, and some of their applications
• Conditions of convergence almost everywhere for the convolution of a function with delta-shaped kernel to this function
• Approximation of functions from the classes \(W_\beta^r H^\alpha\) by Weierstrass integrals
• Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
• Approximation of conjugate differentiable functions by their Abel–Poisson integrals
• Approximation of functions from the class $ C_{\beta, \infty }^\psi $ by Poisson integrals in the uniform metric
• Approximation of (ψ, β)-differentiable functions by Weierstrass integrals
• Approximation of (ψ, β)-differentiable functions defined on the real axis by Weierstrass operators
• On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals
• Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals
• Approximation of (ψ, β)-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
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