Norms of the positive powers of the Bessel operator in the spaces of even Schlömilch j-polynomials

DOI10.1134/S0001434619090268zbMath1439.42038OpenAlexW2981847608MaRDI QIDQ2291216

E. L. Sanina, Lev N. Lyakhov

Publication date: 30 January 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434619090268

zbMATH Keywords

operator normBernstein's inequalityBessel j-functionBernstein-Zygmund inequalitygeneralized Poisson shiftLiouville, Marchaud, and Weyl fractional derivativesRiesz interpolation formulaSchlömilch polynomial

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Full Fourier-Bessel transform and the algebra of singular pseudodifferential operators
• Interpolation formulas for B-derivative of the Schlömilch \(j\)-polynomial
• The construction of Dirichlet and de la Vallée-Poussin–Nikol’skiĭ kernels for $\mathrm {j}$-Bessel Fourier integrals
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