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Volumn 122, Issue 2, 1996, Pages 187-197

Transplanting maximal inequalities between Laguerre and Hankel multipliers

Author keywords

Hankel transform; Laguerre expansions; Maximal functions; Multipliers

Indexed keywords


EID: 0013132153     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01297769     Document Type: Article
Times cited : (6)

References (11)
  • 1
    • 84966256792 scopus 로고
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    • ANDERSEN, K.: Weighted inequalities for the disc multiplier. Proc. Amer. Math. Soc. 83, 269-275 (1981).
    • (1981) Proc. Amer. Math. Soc. , vol.83 , pp. 269-275
    • Andersen, K.1
  • 2
    • 0000305197 scopus 로고
    • On the mean inversion of Fourier and Hankel transforms
    • HERZ, C.: On the mean inversion of Fourier and Hankel transforms. Proc. Nat. Acad. Sci. U.S.A. 40, 996-999 (1954).
    • (1954) Proc. Nat. Acad. Sci. U.S.A. , vol.40 , pp. 996-999
    • Herz, C.1
  • 3
    • 84972527667 scopus 로고
    • On the multipliers of Hankel transform
    • IGARI, S.: On the multipliers of Hankel transform. Tôhoku Math. J. 24, 201-206 (1972).
    • (1972) Tôhoku Math. J. , vol.24 , pp. 201-206
    • Igari, S.1
  • 4
    • 84966229885 scopus 로고
    • Convergence and divergence almost everywhere of spherical means for radial functions
    • KANJIN, Y.: Convergence and divergence almost everywhere of spherical means for radial functions. Proc. Amer. Math. Soc. 103, 1063-1069 (1988).
    • (1988) Proc. Amer. Math. Soc. , vol.103 , pp. 1063-1069
    • Kanjin, Y.1
  • 5
    • 0002134942 scopus 로고
    • Maximal operators defined by Fourier transform
    • KENIG, C. E., TOMAS, P. A.: Maximal operators defined by Fourier transform. Studia Math. 68, 79-83 (1980).
    • (1980) Studia Math. , vol.68 , pp. 79-83
    • Kenig, C.E.1    Tomas, P.A.2
  • 6
    • 0002048729 scopus 로고
    • Mean cesàro summability of Laguerre expansions and norm estimates with shifted parameter
    • MARKETT, C: Mean Cesàro summability of Laguerre expansions and norm estimates with shifted parameter. Ann. Math. 8, 19-37 (1982).
    • (1982) Ann. Math. , vol.8 , pp. 19-37
    • Markett, C.1
  • 7
    • 0011261676 scopus 로고
    • Equiconvergence and almost everywhere convergence of Hermite and Laguerre series
    • MUCKENHOUPT, B.: Equiconvergence and almost everywhere convergence of Hermite and Laguerre series. SIAM J. Math. Anal. 1, 295-321 (1970).
    • (1970) SIAM J. Math. Anal. , vol.1 , pp. 295-321
    • Muckenhoupt, B.1
  • 8
    • 0039012865 scopus 로고
    • Almost everywhere summability of Laguerre series II
    • STEMPAK, K.: Almost everywhere summability of Laguerre series II. Studia Math. 103, 317-327 (1992).
    • (1992) Studia Math. , vol.103 , pp. 317-327
    • Stempak, K.1
  • 9
    • 0001509084 scopus 로고
    • On connections between Hankel, Laguerre and Heisenberg multipliers
    • STEMPAK, K.: On connections between Hankel, Laguerre and Heisenberg multipliers. J. London Math. Soc. 51, 286-298 (1995).
    • (1995) J. London Math. Soc. , vol.51 , pp. 286-298
    • Stempak, K.1
  • 10
    • 0003339568 scopus 로고
    • Orthogonal polynomials
    • New York: Amer. Math. Soc.
    • SZEGÖ, G.: Orthogonal Polynomials. Colloquium Publ. 23. New York: Amer. Math. Soc., 1939.
    • (1939) Colloquium Publ. , vol.23
    • Szegö, G.1
  • 11
    • 84972517102 scopus 로고
    • p theory of hankel transforms
    • p theory of Hankel transforms. Pacific J. Math. 1, 313-319 (1951).
    • (1951) Pacific J. Math. , vol.1 , pp. 313-319
    • Wing, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.