On the boundedness of hyperbolic Riesz B-potential

DOI10.1007/s10986-016-9335-yzbMath1367.47054OpenAlexW2556556838MaRDI QIDQ507036

Elina Leonidovna Shishkina

Publication date: 3 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10986-016-9335-y

zbMATH Keywords

generalized translationMarcinkiewicz interpolation theorembounded operatorfractional power of singular hyperbolic operatorhyperbolic Riesz B-potentialLorentz distancesingular Bessel differential operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Potential operators (47G40) Higher-dimensional potential theory (31B99)

Related Items (5)

On fractional powers of the Bessel operator on semiaxis ⋮ On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications ⋮ Inversion of Hyperbolic B-Potentials ⋮ Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations ⋮ Hyperbolic B-Potentials: Properties and Inversion

Cites Work

• Generalized Riesz B-potentials of the mixed type
• On the symbol of the integral operator of the \(B\)-potential type with a single characteristic
• On generalized Riesz type potential with Lorentz distance
• L'intégrale de Riemann-Liouville et le problème de Cauchy
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