Bessel type Kolmogorov inequalities on weighted Lebesgue spaces

DOI10.1080/00036811.2019.1659953zbMath1464.42011OpenAlexW2970992994MaRDI QIDQ4989428

Ismail Ekincioglu, Esra Kaya

Publication date: 25 May 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1659953

zbMATH Keywords

weighted Lebesgue spacesKolmogorov inequalitygeneralized shift operatorLaplace-Bessel operatorRiesz-Bessel transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (2)

Some results concerning Riesz–Bessel transforms of high order ⋮ A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

Cites Work

• Inversion of the Lions transmutation operators using generalized wavelets
• The boundedness of high order Riesz-Bessel transformations generated by the generalized shift operator in weighted \(L_{p,\omega ,\gamma}\)-spaces with general weights
• The Sobolev theorem for the Riesz \(B\)-potentials
• Singular integrals generated by a general translation operator. II
• On maximal function and fractional integral, associated with the Bessel differential operator
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
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