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Volumn 246, Issue 1-2, 2004, Pages 321-337

Lp bounds for a maximal dyadic sum operator

Author keywords

Almost every convergence; Fourier series

Indexed keywords


EID: 0742323812     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-003-0601-4     Document Type: Article
Times cited : (25)

References (14)
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    • Antonov, N.Y.1
  • 2
    • 0001498106 scopus 로고
    • On convergence and growth of partial sums of Fourier series
    • Carleson, L.: On convergence and growth of partial sums of Fourier series. Acta Math. 116, 135-157 (1966)
    • (1966) Acta Math. , vol.116 , pp. 135-157
    • Carleson, L.1
  • 3
    • 0000153472 scopus 로고
    • Pointwise convergence of Fourier series
    • Fefferman, C.: Pointwise convergence of Fourier series. Ann. Math. 98, 551-571 (1973)
    • (1973) Ann. Math. , vol.98 , pp. 551-571
    • Fefferman, C.1
  • 4
    • 0003031805 scopus 로고
    • On the convergence of Fourier series
    • Edwardsville, IL, D. T. Haimo (ed.), Southern Illinois Univ. Press, Carbondale IL
    • Hunt, R.: On the convergence of Fourier series. In: Orthogonal Expansions and their continuous analogues. (Edwardsville, IL 1967), D. T. Haimo (ed.), Southern Illinois Univ. Press, Carbondale IL, 1968, pp. 235-255
    • (1967) Orthogonal Expansions and their Continuous Analogues , pp. 235-255
    • Hunt, R.1
  • 5
    • 0002134942 scopus 로고
    • Maximal operators defined by Fourier multipliers
    • Kenig, C., Tomas, P.: Maximal operators defined by Fourier multipliers. Studia Math. 68, 79-83 (1980)
    • (1980) Studia Math. , vol.68 , pp. 79-83
    • Kenig, C.1    Tomas, P.2
  • 7
    • 0034348701 scopus 로고    scopus 로고
    • A proof of boundedness of the Carleson operator
    • Lacey, M., Thiele, C.: A proof of boundedness of the Carleson operator. Math. Res. Lett. 7, 361-370 (2000)
    • (2000) Math. Res. Lett. , vol.7 , pp. 361-370
    • Lacey, M.1    Thiele, C.2
  • 8
    • 0033416840 scopus 로고    scopus 로고
    • On Calderón's conjecture
    • Lacey, M., Thiele, C.: On Calderón's conjecture. Ann. Math. 149, 475-496 (1999)
    • (1999) Ann. Math. , vol.149 , pp. 475-496
    • Lacey, M.1    Thiele, C.2
  • 10
    • 84950356985 scopus 로고
    • An inequality of Paley and convergence a.e. of Walsh-Fourier series
    • Sjölin, P.: An inequality of Paley and convergence a.e. of Walsh-Fourier series. Ark. Matematik 7, 551-570 (1968)
    • (1968) Ark. Matematik , vol.7 , pp. 551-570
    • Sjölin, P.1
  • 11
    • 0003043439 scopus 로고
    • Convergence almost everywhere of certain singular integrals and multiple Fourier series
    • Sjölin, P.: Convergence almost everywhere of certain singular integrals and multiple Fourier series. Ark. Matematik 9, 65-90 (1971)
    • (1971) Ark. Matematik , vol.9 , pp. 65-90
    • Sjölin, P.1
  • 12
    • 0042913567 scopus 로고    scopus 로고
    • Remarks on a theorem by N. Yu. Antonov
    • Sjölin, P., Soria, F.: Remarks on a theorem by N. Yu. Antonov. Studia Math. 158(1), 79-97 (2003)
    • (2003) Studia Math. , vol.158 , Issue.1 , pp. 79-97
    • Sjölin, P.1    Soria, F.2
  • 14
    • 0001569573 scopus 로고
    • An extension of theorem of Marcinkiewicz and some of its applications
    • Stein, E.M., Weiss, G.: An extension of theorem of Marcinkiewicz and some of its applications. J. Math. Mech. 8, 263-284 (1959)
    • (1959) J. Math. Mech. , vol.8 , pp. 263-284
    • Stein, E.M.1    Weiss, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.