Singular integrals with highly oscillating kernels on the product domains
Chen, Lung-Kee
Colloquium Mathematicae, Tome 66 (1993), p. 293-302 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210193
@article{bwmeta1.element.bwnjournal-article-cmv64i2p293bwm,
     author = {Chen, Lung-Kee},
     title = {Singular integrals with highly oscillating kernels on the product domains},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {293-302},
     zbl = {0816.42008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p293bwm}
}
Chen, Lung-Kee. Singular integrals with highly oscillating kernels on the product domains. Colloquium Mathematicae, Tome 66 (1993) pp. 293-302. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p293bwm/

[000] [1] C. Fefferman, On the convergence of multiple Fourier series, Bull. Amer. Math. Soc. 77 (1971), 744-745. | Zbl 0234.42008

[001] [2] R. Fefferman, Singular integrals on product domains, ibid. 4 (1981), 195-201. | Zbl 0466.42007

[002] [3] R. Fefferman and E. Stein, Singular integrals on product spaces, Adv. in Math. 45 (1982), 117-143. | Zbl 0517.42024

[003] [4] J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland Math. Stud. 116, North-Holland, 1985.

[004] [5] E. Prestini, Uniform estimates for families of singular integrals and double Fourier series, J. Austral. Math. Soc. Ser. A 41 (1986), 1-12. | Zbl 0623.42008

[005] [6] E. Prestini, Singular integrals on product spaces with variable coefficients, Ark. Mat. 25 (1987), 275-287. | Zbl 0639.42014

[006] [7] E. Prestini, L2 boundedness of highly oscillatory integrals on product domains, Proc. Amer. Math. Soc. 104 (1988), 493-497. | Zbl 0692.42004

[007] [8] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. | Zbl 0207.13501