Conditions for the \(L_{p, \lambda}\)-boundedness of the Riesz potential generated by the Gegenbauer differential operator

DOI10.1134/S0001434619050043zbMath1423.42023OpenAlexW2954972640MaRDI QIDQ2334906

Vagif S. Guliyev, É. Dzh. Ibragimov

Publication date: 8 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0001434619050043

zbMATH Keywords

generalized shift operatorGegenbauer differential operatorGegenbauer potential

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (2)

Weak and strong type inequalities criteria for fractional maximal functions and fractional integrals associated with Gegenbauer differential operator ⋮ Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator

Cites Work

• Unnamed Item
• The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator
• Necessary and sufficient conditions for the boundedness of \(B\)-Riesz potential in the \(B\)-Morrey spaces
• A note on Riesz potentials
• The convolution structure for Jacobi function expansions
• Expansion formulas and addition theorems for Gegenbauer functions
• On maximal function and fractional integral, associated with the Bessel differential operator

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