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Volumn 174, Issue 2, 1996, Pages 543-553

Endpoint inequalities for Bochner-Riesz multipliers in the plane

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EID: 0040516945     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1996.174.543     Document Type: Article
Times cited : (34)

References (15)
  • 2
    • 0000692012 scopus 로고
    • Oscillatory integrals and a multiplier problem for the disc
    • L. Carleson and P. Sjölin, Oscillatory integrals and a multiplier problem for the disc, Studia Math., 44 (1972), 287-299.
    • (1972) Studia Math. , vol.44 , pp. 287-299
    • Carleson, L.1    Sjölin, P.2
  • 3
    • 84967728282 scopus 로고
    • Weak type estimates for Bochner-Riesz spherical summation multipliers
    • S. Chanillo and B. Muckenhoupt, Weak type estimates for Bochner-Riesz spherical summation multipliers, Trans. Amer. Math. Soc., 294 (1986), 693-703.
    • (1986) Trans. Amer. Math. Soc. , vol.294 , pp. 693-703
    • Chanillo, S.1    Muckenhoupt, B.2
  • 4
    • 0001771268 scopus 로고
    • Weak type (1, 1) bounds for rough operators
    • M. Christ, Weak type (1, 1) bounds for rough operators, Annals of Math., 128 (1988), 19-42.
    • (1988) Annals of Math. , vol.128 , pp. 19-42
    • Christ, M.1
  • 5
    • 0003374830 scopus 로고
    • Weak type endpoint bounds for Bochner-Riesz multipliers
    • _, Weak type endpoint bounds for Bochner-Riesz multipliers, Revista Mat. Iberoamericana, 3 (1987), 25-31.
    • (1987) Revista Mat. Iberoamericana , vol.3 , pp. 25-31
  • 6
    • 0000604706 scopus 로고
    • 1 convergence of eigenfunction expansions for pseudodifferential operators
    • 1 convergence of eigenfunction expansions for pseudodifferential operators, Invent. Math., 94 (1988), 421-453.
    • (1988) Invent. Math. , vol.94 , pp. 421-453
    • Christ, M.1    Sogge, C.D.2
  • 7
    • 77951448864 scopus 로고
    • 1 behavior of eigenfunction expansions and singular integral operators in Miniconferences on harmonic analysis and operator algebras (Canberra, 1987)
    • 1 behavior of eigenfunction expansions and singular integral operators in Miniconferences on harmonic analysis and operator algebras (Canberra, 1987), Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, 16 (1988), 29-50.
    • (1988) Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra , vol.16 , pp. 29-50
  • 8
    • 84972584751 scopus 로고
    • A note on Bochner-Riesz operators
    • A. Córdoba, A note on Bochner-Riesz operators, Duke Math. J., 46 (1979), 505-511.
    • (1979) Duke Math. J. , vol.46 , pp. 505-511
    • Córdoba, A.1
  • 9
    • 0010016016 scopus 로고
    • Geometric Fourier analysis
    • _, Geometric Fourier analysis, Ann. Inst Fourier, 32 (1982), 215-226.
    • (1982) Ann. Inst Fourier , vol.32 , pp. 215-226
  • 10
    • 0010954950 scopus 로고
    • Inequalities for strongly singular convolution operators
    • C. Fefferman, Inequalities for strongly singular convolution operators, Acta Math., 124 (1970), 9-36.
    • (1970) Acta Math. , vol.124 , pp. 9-36
    • Fefferman, C.1
  • 11
    • 0000803776 scopus 로고
    • The multiplier problem for the ball
    • _, The multiplier problem for the ball, Annals of Math., 94 (1971), 330-336.
    • (1971) Annals of Math. , vol.94 , pp. 330-336
  • 12
    • 51249187555 scopus 로고
    • A note on spherical summation multipliers
    • _, A note on spherical summation multipliers, Israel J. Math., 15 (1973), 44-52.
    • (1973) Israel J. Math. , vol.15 , pp. 44-52
  • 13
    • 0038840468 scopus 로고
    • Estimates for some square functions of Littlewood-Paley type
    • J.L. Rubio de Francia, Estimates for some square functions of Littlewood-Paley type, Publicacions Mathématiques, 27 (1983), 81-108.
    • (1983) Publicacions Mathématiques , vol.27 , pp. 81-108
    • Rubio De Francia, J.L.1
  • 14
    • 84972576744 scopus 로고
    • Necessary conditions for quasiradial Fourier multipliers
    • A. Seeger, Necessary conditions for quasiradial Fourier multipliers, Tôhoku Math. J., 39 (1986), 249-257.
    • (1986) Tôhoku Math. J. , vol.39 , pp. 249-257
    • Seeger, A.1
  • 15
    • 0010721881 scopus 로고
    • Endpoint estimates for multiplier transformations on compact manifolds
    • _, Endpoint estimates for multiplier transformations on compact manifolds, Indiana Univ. Math. J., 40 (1991), 471-533.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 471-533


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.