A remark on weighted \((L^p,L^r)\)-boundedness for rough multilinear oscillatory singular integrals. (English) Zbl 07809622
Summary: This paper studies the weighted \((L^p ,L^r)\)-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough homogeneous kernels belonging to \(L\log^+ L(S^{n-1})\), and establishes two criteria on the corresponding weighted bounds for such operators.
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B35 | Function spaces arising in harmonic analysis |
References:
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