Rough singular integral operators with Hardy space function kernels on a product domain

• Autorzy: Yong Ding
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce atomic Hardy spaces on the product domain $S^{n-1}×S^{m-1}$ and prove that rough singular integral operators with Hardy space function kernels are $L^p$ bounded on $ℝ^{n} × ℝ^{m}$. This is an extension of some well known results.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 73
• Numer: 1
• Strony: 15-23

Daty

wydano

1997

otrzymano

1996-01-09

Twórcy

autor

Yong Ding

• Department of Mathematics, Nanchang Vocational and Technical Teachers' College, Nanchang, Jiangxi, 330013 P.R. China

Bibliografia

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• [2] J. Duoandikoetxea and J. L. Rubio de Francia, Maximal and singular integral operators via Fourier transform estimates, Invent. Math. 84 (1986), 541-561.
• [3] R. Fefferman, Singular integrals on product domains, Bull. Amer. Math. Soc. 4 (1981), 195-201.
• [4] Y. S. Jiang and S. Z. Lu, A class of singular integral operators with rough kernel on product domains, Hokkaido Math. J. 24 (1995), 1-7.
• [5] D. K. Watson, The Hardy space kernel condition for rough integrals, preprint.