On the boundedness of some potential‐type operators with oscillating kernels

DOI10.1002/mana.200310258zbMath1081.47051OpenAlexW2037177087MaRDI QIDQ4667887

D. N. Karasev, V. A. Nogin

Publication date: 21 April 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310258

zbMATH Keywords

oscillating kernelsoscillating symbolspotential-type operators\(L_p \to L_q\) estimates

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Integral operators (47G10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (10)

Estimates for twisted convolution operators with singularities of kernels on a sphere and at the origin ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on singular integral ⋮ Estimates for some convolution operators with singularities in their kernels on a sphere with applications ⋮ Complex powers of a nonelliptic differential operator in \(L_p\)-spaces ⋮ Оценки для некоторых операторов свертки с особенностями ядер на сферах ⋮ Lp−Lq-Estimates for Potential-Type Operators with Oscillating Kernels ⋮ \(L^{1}-H^{1}\) bounds for a generalized Strichartz potential

Cites Work

• Unnamed Item
• \(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order

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