Convolution operators on Hardy spaces

• Autorzy: Chin-Cheng Lin
• Języki publikacji: EN

Abstrakty

EN

We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces $H^p(G)$, where G is a homogeneous group.

Słowa kluczowe

EN

atomic decomposition; Hardy spaces; homogeneous groups

Kategorie tematyczne

• 43A85: Analysis on homogeneous spaces
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 120
• Numer: 1
• Strony: 53-59

Daty

wydano

1996

otrzymano

1995-06-27

poprawiono

1996-03-18

Twórcy

autor

Chin-Cheng Lin

• Department of Mathematics, National Central University, Chung-li, Taiwan 32054, Republic of China,

Bibliografia

• [CW1] R. R. Coifman and G. Weiss, Analyse Harmonique Non-Commutative sur Certains Espaces Homogènes, Lecture Notes in Math. 242, Springer, Berlin, 1971.
• [CW2] R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645.
• [FS] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Math. Notes 28, Princeton Univ. Press, Princeton, N.J., 1982.
• [HJTW] Y. Han, B. Jawerth, M. Taibleson, and G. Weiss, Littlewood-Paley theory and ϵ-families of operators, Colloq. Math. 60//61 (1990), 321-359.
• [L] C.-C. Lin, $L^p$ multipliers and their $H^1$-$L^1$ estimates on the Heisenberg group, Rev. Mat. Iberoamericana 11 (1995), 269-308.
• [S] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970.
• [TW] M. H. Taibleson and G. Weiss, The molecular characterization of certain Hardy spaces, Astérisque 77 (1980), 67-149.