Convolution operators on Hardy spaces
Lin, Chin-Cheng
Studia Mathematica, Tome 119 (1996), p. 53-59 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216320 
@article{bwmeta1.element.bwnjournal-article-smv120i1p53bwm,
     author = {Chin-Cheng Lin},
     title = {Convolution operators on Hardy spaces},
     journal = {Studia Mathematica},
     volume = {119},
     year = {1996},
     pages = {53-59},
     zbl = {0882.42011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p53bwm}
}

Lin, Chin-Cheng. Convolution operators on Hardy spaces. Studia Mathematica, Tome 119 (1996) pp. 53-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p53bwm/

[00000] [CW1] R. R. Coifman and G. Weiss, Analyse Harmonique Non-Commutative sur Certains Espaces Homogènes, Lecture Notes in Math. 242, Springer, Berlin, 1971.

[00001] [CW2] R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. | Zbl 0358.30023

[00002] [FS] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Math. Notes 28, Princeton Univ. Press, Princeton, N.J., 1982. | Zbl 0508.42025

[00003] [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. | Zbl 0763.46024

[00004] [L] C.-C. Lin, Lp multipliers and their H1-L1 estimates on the Heisenberg group, Rev. Mat. Iberoamericana 11 (1995), 269-308.

[00005] [S] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970. | Zbl 0207.13501

[00006] [TW] M. H. Taibleson and G. Weiss, The molecular characterization of certain Hardy spaces, Astérisque 77 (1980), 67-149. | Zbl 0472.46041