On semigroups generated by subelliptic operators on homogeneous groups

Jacek Dziubański

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 2, page 215-231
  • ISSN: 0010-1354

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Dziubański, Jacek. "On semigroups generated by subelliptic operators on homogeneous groups." Colloquium Mathematicae 64.2 (1993): 215-231. <http://eudml.org/doc/210186>.

@article{Dziubański1993,
author = {Dziubański, Jacek},
journal = {Colloquium Mathematicae},
keywords = {holomorphic semigroups of operators; Rockland operators; homogeneous groups; positive Rockland operator; homogeneous Lie group; differential operator; holomorphic semigroup; Schwartz space; kernel},
language = {eng},
number = {2},
pages = {215-231},
title = {On semigroups generated by subelliptic operators on homogeneous groups},
url = {http://eudml.org/doc/210186},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Dziubański, Jacek
TI - On semigroups generated by subelliptic operators on homogeneous groups
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 2
SP - 215
EP - 231
LA - eng
KW - holomorphic semigroups of operators; Rockland operators; homogeneous groups; positive Rockland operator; homogeneous Lie group; differential operator; holomorphic semigroup; Schwartz space; kernel
UR - http://eudml.org/doc/210186
ER -

References

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  1. [DH] J. Dziubański and A. Hulanicki, On semigroups generated by left-invariant positive differential operators on nilpotent Lie groups, Studia Math. 94 (1989), 81-95. Zbl0701.47020
  2. [FS] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Princeton University Press, 1982. Zbl0508.42025
  3. [G] P. Głowacki, Stable semigroups of measures as commutative approximate identities on homogeneous groups, Invent. Math. 83 (1986), 557-587. Zbl0595.43006
  4. [Go] R. Goodman, Singular integral operators on nilpotent Lie groups, Ark. Mat. 18 (1980), 1-11. Zbl0449.43008
  5. [He] W. Hebisch, Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups, Studia Math. 95 (1989), 93-106. Zbl0693.22005
  6. [HN] B. Helffer et J. Nourrigat, Caractérisation des opérateurs hypoelliptiques homogènes invariants à gauche sur un groupe nilpotent gradué, Comm. Partial Differential Equations 4 (1979), 899-958. Zbl0423.35040
  7. [H] A. Hulanicki, Subalgebra of L 1 ( G ) associated with Laplacian on a Lie group, Colloq. Math. 31 (1974), 259-287. Zbl0316.43005
  8. [H1] A. Hulanicki, A functional calculus for Rockland operators on nilpotent Lie groups, Studia Math. 78 (1984), 253-266. Zbl0595.43007
  9. [NS] E. Nelson and W. F. Stinespring, Representation of elliptic operators in an enveloping algebra, Amer. J. Math. 81 (1959), 547-560. Zbl0092.32103
  10. [P] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, New York 1983. Zbl0516.47023

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