Voir la notice de l'article provenant de la source Library of Science
@article{AUPCM_2020_19_a8, author = {Abdelkefi, Chokri}, title = {Maximal functions for {Weinstein} operator}, journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica}, pages = {105--119}, publisher = {mathdoc}, volume = {19}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/AUPCM_2020_19_a8/} }
Abdelkefi, Chokri. Maximal functions for Weinstein operator. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 105-119. http://geodesic.mathdoc.fr/item/AUPCM_2020_19_a8/
[1] Abdelkefi, Chokri. "Dunkl operators on Rd and uncentered maximal function." J. Lie Theory 20, no. 1 (2010): 113-125.
[2] Ben Nahia, Zouhir, and Néjib Ben Salem. "Spherical harmonics and applications associated with theWeinstein operator." Potential Theory ICPT 94 (Kouty, 1994), 233-241. Berlin: de Gruyter, 1996.
[3] Ben Nahia, Zouhir, and Néjib Ben Salem. "On a mean value property associated with the Weinstein operator." Potential Theory ICPT 94 (Kouty, 1994), 243-253. Berlin: de Gruyter, 1996.
[4] Bloom, Walter R., and Zeng Fu Xu. "The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups." Applications of hypergroups and related measure algebras (Seattle, WA, 1993), 45–70. Vol. 183 of Contemp. Math. Providence, RI: Amer. Math. Soc., 1995.
[5] Brelot, Marcel. "Équation de Weinstein et potentiels de Marcel Riesz" Séminaire de Théorie du Potentiel, no. 3 (Paris, 1976/1977), 18–38. Vol. 681 of Lecture Notes in Math. Berlin: Springer, 1978.
[6] Clerc, Jean-Louis, and Elias Menachem Stein. "Lp-multipliers for noncompact symmetric spaces." Proc. Nat. Acad. Sci. U.S.A. 71 (1974): 3911-3912.
[7] Connett, William C, and Alan L. Schwartz. "The Littlewood-Paley theory for Jacobi expansions." Trans. Amer. Math. Soc. 251 (1979): 219-234.
[8] Connett, William C., and Alan L. Schwartz. "A Hardy-Littlewood maximal inequality for Jacobi type hypergroups." Proc. Amer. Math. Soc. 107, no. 1 (1989): 137-143.
[9] Gaudry, Garth Ian, et all. "Hardy-Littlewood maximal functions on some solvable Lie groups." J. Austral. Math. Soc. Ser. A 45, no. 1 (1988): 78-82.
[10] Hardy, Godfrey Harold, and John Edensor Littlewood. "A maximal theorem with function-theoretic applications." Acta Math. 54, no. 1 (1930): 81-116.
[11] Hewitt, Edwin, and Karl Stromberg. Real and abstract analysis. A modern treatment of the theory of functions of a real variable. New-York: Springer-Verlag, 1965.
[12] Leutwiler, Heinz. "Best constants in the Harnack inequality for the Weinstein equation." Aequationes Math. 34, no. 2-3 (1987): 304-315.
[13] Stein, Elias Menachem. Singular integrals and differentiability properties of functions. Vol. 30 of Princeton Mathematical Series. Princeton, New Jersey: Princeton University Press, 1970.
[14] Stempak, Krzysztof. "La théorie de Littlewood-Paley pour la transformation de Fourier-Bessel." C. R. Acad. Sci. Paris Sér. I Math. 303, no. 1 (1986): 15-18.
[15] Strömberg, Jan-Olov. "Weak type L1 estimates for maximal functions on noncompact symmetric spaces." Ann. of Math. (2) 114, no. 1 (1981): 115-126.
[16] Thangavelu, Sundaram, and Yuan Xu. "Convolution operator and maximal function for the Dunkl transform." J. Anal. Math. 97 (2005): 25-55.
[17] Torchinsky, Alberto. Real-variable nethods in harmonic analysis. Vol. 123 of Pure and applied mathematics. Orlando: Academic Press, 1986.
[18] Watson, George Neville. A treatise on the theory of Bessel functions. Cambridge-New York-Oakleigh: Cambridge University Press, 1966.
[19] Weinstein, Alexander. "Singular partial differential equations and their applications." Fluid dynamics and applied mathematics, 29-49. New York: Gordon and Breach, 1962.