A note on Schrödinger operators with polynomial potentials

Jacek Dziubański

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 1, page 149-161
  • ISSN: 0010-1354

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Dziubański, Jacek. "A note on Schrödinger operators with polynomial potentials." Colloquium Mathematicae 78.1 (1998): 149-161. <http://eudml.org/doc/210599>.

@article{Dziubański1998,
author = {Dziubański, Jacek},
journal = {Colloquium Mathematicae},
keywords = {polynomial potentials; homogeneous groups; Schrödinger operator; Rockland's condition; Calderón-Zygmund operator},
language = {eng},
number = {1},
pages = {149-161},
title = {A note on Schrödinger operators with polynomial potentials},
url = {http://eudml.org/doc/210599},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Dziubański, Jacek
TI - A note on Schrödinger operators with polynomial potentials
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 1
SP - 149
EP - 161
LA - eng
KW - polynomial potentials; homogeneous groups; Schrödinger operator; Rockland's condition; Calderón-Zygmund operator
UR - http://eudml.org/doc/210599
ER -

References

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  1. [D] 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. [D1] J. Dziubański, Schwartz spaces associated with some non-differential convolution operators on homogeneous groups, ibid. 63 (1992), 153-161. 
  3. [DHJ] J. Dziubański, A. Hulanicki and J. Jenkins, A nilpotent Lie algebra and eigenvalue estimates, ibid. 68 (1995), 7-16. Zbl0837.43012
  4. [E] J. Epperson, Triebel-Lizorkin spaces for Hermite expansions, Studia Math. 114 (1995), 87-103. Zbl0828.42017
  5. [FeS] C. Fefferman and E. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115. Zbl0222.26019
  6. [FS] G. Folland and E. Stein, Hardy Spaces on Homogeneous Groups, Princeton Univ. Press, 1982. Zbl0508.42025
  7. [G] P. Głowacki, Stable semi-groups of measures as commutative approximate identities on non-graded homogeneous groups, Invent. Math. 83 (1986), 557-582. Zbl0595.43006
  8. [G1] P. Głowacki, The Rockland condition for nondifferential convolution operators II, Studia Math. 98 (1991), 99-114. Zbl0737.43002
  9. [He] W. Hebisch, On operators satisfying the Rockland condition, ibid. 131 (1998), 63-71. 
  10. [P] J. Peetre, On space of Triebel-Lizorkin type, Ark. Mat. 13 (1975), 123-130. Zbl0302.46021
  11. [Sh] Z. Shen, L p estimates for Schrödinger operators with certain potentials, Ann. Inst. Fourier (Grenoble) 45 (1995), 513-546. Zbl0818.35021
  12. [Z] J. Zhong, Harmonic analysis for some Schrödinger operators, Ph.D. thesis, Princeton Univ., 1993. 

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