Convolution operators on Hardy spaces

Chin-Cheng Lin

Studia Mathematica (1996)

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

Abstract

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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.

How to cite

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Lin, 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

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  1. [CW1] R. R. Coifman and G. Weiss, Analyse Harmonique Non-Commutative sur Certains Espaces Homogènes, Lecture Notes in Math. 242, Springer, Berlin, 1971. 
  2. [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
  3. [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
  4. [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
  5. [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. 
  6. [S] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970. Zbl0207.13501
  7. [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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