Oscillatory singular integrals with variable rough kernel. II. (English) Zbl 1129.42374
[For Part I, see J. Beijing Norm. Univ., Nat. Sci. 36, No. 3, 285-289 (2000; Zbl 1071.42502).]
Let \(n\geq 2\). In this paper, the author establishes the \(L^2(\mathbb{R}^n)\)-boundedness of some oscillatory singular integrals with variable rough kernels by means of some estimates on hypergeometric functions and confluent hypergeometric functions.
Let \(n\geq 2\). In this paper, the author establishes the \(L^2(\mathbb{R}^n)\)-boundedness of some oscillatory singular integrals with variable rough kernels by means of some estimates on hypergeometric functions and confluent hypergeometric functions.
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B15 | Multipliers for harmonic analysis in several variables |
| 47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |
Citations:
Zbl 1071.42502References:
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