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In this paper, the author studies
the k-th commutators of oscillatory singular integral operators with a BMO function
and phases more general than polynomials. For
1<p<∞, the L^p-boundedness of such operators are obtained
provided their kernels belong to the spaces L((log^+)L)^{k+1}(S^{n-1}). The results of the corresponding maximal
operators are also established.
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참고문헌 (15)
참고문헌 신청
A. Al-Salman / 2003 / Rough oscillatory singular integral operators. II / Turkish J. Math. 27 (4) : 565 ~ 579
A. Al-Salman / 2004 / Rough oscillatory singular integral operators of nonconvolution type / J. Math. Anal. Appl. 299 (1) : 72 ~ 88
B. Ma / 2000 / L2(Rn) boundedness for commutators of oscillatory singular integral operators / Approx. Theory Appl. 16 (2) : 37 ~ 44
E. M. Stein / 1987 / Problems in harmonic analysis related to curvature and oscillatory integrals, Proceedings of the International Congress of Mathematicians / Amer. Math.
E. M. Stein / 1993 / Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals / Princeton University Press
A. Al-Salman / 2004 / Rough oscillatory singular integral operators of nonconvolution type / J. Math. Anal. Appl. 299 (1) : 72 ~ 88
B. Ma / 2000 / L2(Rn) boundedness for commutators of oscillatory singular integral operators / Approx. Theory Appl. 16 (2) : 37 ~ 44
E. M. Stein / 1987 / Problems in harmonic analysis related to curvature and oscillatory integrals, Proceedings of the International Congress of Mathematicians / Amer. Math.
E. M. Stein / 1993 / Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals / Princeton University Press
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