A note on Schrödinger operators with polynomial potentials

• Autorzy: Jacek Dziubański
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 78
• Numer: 1
• Strony: 149-161

Daty

wydano

1998

otrzymano

1997-08-18

poprawiono

1998-04-07

Twórcy

autor

Jacek Dziubański

• Institute of Mathematics, Wrocław University, Plac Grunwaldzki 2/4 50-384 Wrocław, Poland

Bibliografia

• [D] J. Dziubański, A remark on a Marcinkiewicz-Hörmander multiplier theorem for some non-differential convolution operators, Colloq. Math. 58 (1989), 77-83.
• [D1] J. Dziubański, Schwartz spaces associated with some non-differential convolution operators on homogeneous groups, ibid. 63 (1992), 153-161.
• [DHJ] J. Dziubański, A. Hulanicki and J. Jenkins, A nilpotent Lie algebra and eigenvalue estimates, ibid. 68 (1995), 7-16.
• [E] J. Epperson, Triebel-Lizorkin spaces for Hermite expansions, Studia Math. 114 (1995), 87-103.
• [FeS] C. Fefferman and E. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115.
• [FS] G. Folland and E. Stein, Hardy Spaces on Homogeneous Groups, Princeton Univ. Press, 1982.
• [G] P. Głowacki, Stable semi-groups of measures as commutative approximate identities on non-graded homogeneous groups, Invent. Math. 83 (1986), 557-582.
• [G1] P. Głowacki, The Rockland condition for nondifferential convolution operators II, Studia Math. 98 (1991), 99-114.
• [He] W. Hebisch, On operators satisfying the Rockland condition, ibid. 131 (1998), 63-71.
• [P] J. Peetre, On space of Triebel-Lizorkin type, Ark. Mat. 13 (1975), 123-130.
• [Sh] Z. Shen, $L^p$ estimates for Schrödinger operators with certain potentials, Ann. Inst. Fourier (Grenoble) 45 (1995), 513-546.
• [Z] J. Zhong, Harmonic analysis for some Schrödinger operators, Ph.D. thesis, Princeton Univ., 1993.