Schwartz spaces associated with some non-differential convolution operators on homogeneous groups

Jacek Dziubański

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 2, page 153-161
  • ISSN: 0010-1354

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Dziubański, Jacek. "Schwartz spaces associated with some non-differential convolution operators on homogeneous groups." Colloquium Mathematicae 63.2 (1992): 153-161. <http://eudml.org/doc/210141>.

@article{Dziubański1992,
author = {Dziubański, Jacek},
journal = {Colloquium Mathematicae},
keywords = {homogeneous group; convolution; Schwartz class},
language = {eng},
number = {2},
pages = {153-161},
title = {Schwartz spaces associated with some non-differential convolution operators on homogeneous groups},
url = {http://eudml.org/doc/210141},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Dziubański, Jacek
TI - Schwartz spaces associated with some non-differential convolution operators on homogeneous groups
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 2
SP - 153
EP - 161
LA - eng
KW - homogeneous group; convolution; Schwartz class
UR - http://eudml.org/doc/210141
ER -

References

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  1. [1] J. Dziubański, A remark on a Marcinkiewicz-Hörmander multiplier theorem for some non-differential convolution operators, Colloq. Math. 58 (1989), 77-83. Zbl0711.43003
  2. [2] J. Dziubański, Asymptotic behaviour of densities of stable semigroups of measures, Probab. Theory Related Fields 87 (1991), 459-467. Zbl0695.60013
  3. [3] G. M. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Princeton University Press, Princeton 1982. Zbl0508.42025
  4. [4] P. Głowacki, Stable semigroups of measures on the Heisenberg groups, Studia Math. 79 (1984), 105-138. Zbl0563.43002
  5. [5] P. Głowacki, Stable semigroups of measures as commutative approximate identities on non- graded homogeneous groups, Invent. Math. 83 (1986), 557-582. Zbl0595.43006
  6. [6] A. Hulanicki, A class of convolution semigroups of measures on Lie groups, in: Lecture Notes in Math. 829, Springer, Berlin 1980, 82-101. 
  7. [7] A. Hulanicki, A functional calculus for Rockland operators on nilpotent Lie groups, Studia Math. 78 (1984), 253-266. Zbl0595.43007
  8. [8] E. M. Stein, Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Princeton University Press, Princeton 1970. Zbl0193.10502

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