The Markov–Stieltjes transform on Hardy and Lebesgue spaces

DOI10.1080/10652469.2016.1247074zbMath1360.44004arXiv1611.06584OpenAlexW2532432607MaRDI QIDQ5506815

I. S. Kovalyova, A. R. Mirotin

Publication date: 16 December 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06584

zbMATH Keywords

Hankel operatorHilbertHilbert matrixinverse formulaetc.)Markov-Stieltjes functionspecial transforms (Legendre

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (6)

μ-Hankel operators on Hilbert spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On normal \(\mu \)-Hankel operators ⋮ Discrete-time systems with frequency response of the Markov-Stieltjes type ⋮ An integral Hankel operator on 𝐻¹(𝔻)

Cites Work

• Unnamed Item
• On the half-Hartley transform, its iteration and compositions with Fourier transforms
• Rational approximation to functions like \(x^{\alpha}\) in integral norms
• Best rational approximation to Markov functions
• A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations
• New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform
• On the iterated Stieltjes transform and its convolution with applications to singular integral equations

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