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POTENTIAL OPERATORS AND LAPLACE TYPE MULTIPLIERS ASSOCIATED WITH THE TWISTED LAPLACIAN

POTENTIAL OPERATORS AND LAPLACE TYPE MULTIPLIERS ASSOCIATED WITH THE TWISTED LAPLACIAN
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摘要 We study potential operators and,more generally,Laplace-Stieltjes and Laplace type multipliers associated with the twisted Laplacian.We characterize those 1 ≤ p,q ≤ ∞,for which the potential operators are Lp—Lq bounded.This result is a sharp analogue of the classical Hardy-Littlewood-Sobolev fractional integration theorem in the context of special Hermite expansions.We also investigate Lp mapping properties of the Laplace-Stieltjes and Laplace type multipliers. We study potential operators and,more generally,Laplace-Stieltjes and Laplace type multipliers associated with the twisted Laplacian.We characterize those 1 ≤ p,q ≤ ∞,for which the potential operators are Lp—Lq bounded.This result is a sharp analogue of the classical Hardy-Littlewood-Sobolev fractional integration theorem in the context of special Hermite expansions.We also investigate Lp mapping properties of the Laplace-Stieltjes and Laplace type multipliers.
作者 Adam NOWAK Krzysztof STEMPAK
机构地区 Instytut Matematyczny Wydziat Matematyki
出处 《Acta Mathematica Scientia》 SCIE CSCD 2017年第1期280-292,共13页 数学物理学报（B辑英文版）
基金 supported by the National Science Centre of Poland within the project Opus 2013/09/B/ST1/02057
关键词 twisted Laplacian special Hermite expansion negative power potential op-erator fractional integral potential kernel spectral multiplier singular oscil-latory integral twisted Laplacian special Hermite expansion negative power potential op-erator fractional integral potential kernel spectral multiplier singular oscil-latory integral
分类号 O177 [理学—基础数学]
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  • 1Andersen, K. F.: Norm inequalities for ultraspherical and Hankel conjugate functions. Canad. J. Math., 27, 162-171 (1975).
  • 2Andersen, K. F., Kerman, R. A.: Weighted norm inequalities for generalized Hankel conjugate transforma- tions. Studia Math., 71, 15-26 (1981).
  • 3Betancor, J. J., Buraczewski, D., Farifia, J. C., et al.: Riesz transforms related to Bessel operators. Proc. Roy. Soe. Edinburgh Sect. A, 137, 701-725 (2007).
  • 4Betancor, J. J., Castro, A. J., Curbelo, J.: Spectral multipliers for multidimensional Bessel operators. J. Fou,-ier Anal. Appl., 17, 932-975 (2011).
  • 5Betancor, J. J., Castro, A. J., Curbelo, J.: Harmonic analysis operators associated with multidimensional Bessel operators. Proc. Roy. Soc. Edinburgh Sect. A, 142, 945-974 (2012).
  • 6Betancor, J. J., Castro, A. J., De NApoli, P., Farifia, J. C., et al.: Weak type (1, 1) estimates for Caffarelli- Calderon generalized maximal operators for semigroups associated with Bessel and Laguerre operators. Proc. Amer. Math. Soc., 142, 251-261 (2014).
  • 7Betancor, J. J., Castro, A. J., Nowak, A.: Calderon-Zygmund operators in the Bessel setting. Monatsh. Math., 167, 375-403 (2012).
  • 8Betancor, J. J., Farifia, J. C., Martinez, T., et al.: Higher order Riesz transforms associated with Bessel operators. Ark. Mat., 46, 219 250 (2008).
  • 9Betancor, J. J., Farifia, J. C., Sanabria, A.: On Littlewood-Paley functions associated with Bessel operators. Glasg. Math. J., 51, 55-70 (2009).
  • 10Betancor, J. J., Harboure, E., Nowak, A., et al.: Mapping properties of fundamental operators in harmonic analysis related to Bessel operators. Studia Math., 197, 101-140 (2010).

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Acta Mathematica Scientia
2017年 第1期

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