Singular integrals with highly oscillating kernels on the product domains

• Autorzy: Lung-Kee Chen
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 64
• Numer: 2
• Strony: 293-302

Daty

wydano

1993

otrzymano

1992-02-15

poprawiono

1992-06-10

Twórcy

autor

Lung-Kee Chen

• Department of Mathematics, Oregon State University, Corvallis, Oregon 97331, U.S.A.

Bibliografia

• [1] C. Fefferman, On the convergence of multiple Fourier series, Bull. Amer. Math. Soc. 77 (1971), 744-745.
• [2] R. Fefferman, Singular integrals on product domains, ibid. 4 (1981), 195-201.
• [3] R. Fefferman and E. Stein, Singular integrals on product spaces, Adv. in Math. 45 (1982), 117-143.
• [4] J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland Math. Stud. 116, North-Holland, 1985.
• [5] E. Prestini, Uniform estimates for families of singular integrals and double Fourier series, J. Austral. Math. Soc. Ser. A 41 (1986), 1-12.
• [6] E. Prestini, Singular integrals on product spaces with variable coefficients, Ark. Mat. 25 (1987), 275-287.
• [7] E. Prestini, $L^2$ boundedness of highly oscillatory integrals on product domains, Proc. Amer. Math. Soc. 104 (1988), 493-497.
• [8] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.