# Convolution operators on Hardy spaces

Studia Mathematica (1996)

- Volume: 120, Issue: 1, page 53-59
- ISSN: 0039-3223

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topLin, Chin-Cheng. "Convolution operators on Hardy spaces." Studia Mathematica 120.1 (1996): 53-59. <http://eudml.org/doc/216320>.

@article{Lin1996,

abstract = {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.},

author = {Lin, Chin-Cheng},

journal = {Studia Mathematica},

keywords = {atomic decomposition; Hardy spaces; homogeneous groups; convolution; singular integral},

language = {eng},

number = {1},

pages = {53-59},

title = {Convolution operators on Hardy spaces},

url = {http://eudml.org/doc/216320},

volume = {120},

year = {1996},

}

TY - JOUR

AU - Lin, Chin-Cheng

TI - Convolution operators on Hardy spaces

JO - Studia Mathematica

PY - 1996

VL - 120

IS - 1

SP - 53

EP - 59

AB - 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.

LA - eng

KW - atomic decomposition; Hardy spaces; homogeneous groups; convolution; singular integral

UR - http://eudml.org/doc/216320

ER -

## References

top- [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. Zbl0358.30023
- [FS] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Math. Notes 28, Princeton Univ. Press, Princeton, N.J., 1982. Zbl0508.42025
- [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. Zbl0763.46024
- [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. Zbl0207.13501
- [TW] M. H. Taibleson and G. Weiss, The molecular characterization of certain Hardy spaces, Astérisque 77 (1980), 67-149. Zbl0472.46041

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