Remarks on a theorem by N. Yu. Antonov

Studia Mathematica

Volumn 158, Issue 1, 2003, Pages 79-97

  Sjölin, Per ^a   Soria, Fernando ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042913567     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm158-1-7     Document Type: Article

References (13)

1. N. Yu. Antonov, Convergence of Fourier series, East J. Approx. 2 (1996), 187-196.
2. J. Arias de Reina, Pointwise convergence of Fourier series, J. London Math. Soc. (2) 65 (2002), 139-153.
3. C. Bennett and R. Sharpley, Interpolation of Operators, Pure Appl. Math. 129, Academic Press, 1988.
4. L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157.
5. M. J. Carro and J. Martín, Endpoint estimates for restricted inequalities, preprint.
6. n, Lecture Notes in Math. 481, Springer, 1975.
7. R. Hunt, On the convergence of Fourier series, in: Orthogonal Expansions and their Continuous Analogues (Edwardsville, IL, 1967), Southern Illinois Univ. Press, 1968, 235-255.
8. P. Sjölin, An inequality of Paley and convergence a. e. of Walsh-Fourier series, Ark. Mat. 7 (1968), 551-570.
9. _, Convergence almost everywhere of certain singular integrals and multiple Fourier series, ibid. 9 (1971), 65-90.
10. F. Soria, Note on differentiation of integrals and the halo conjecture, Studia Math. 81 (1985), 29-36.
11. _, On an extrapolation theorem of Carleson-Sjölin with applications to a.e. convergence of Fourier series, ibid. 94 (1989), 235-244.
12. E. Stein and G. Weiss, Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, 1971.
13. A. Zygmund, Trigonometric Series, Cambridge Univ. Press, 1959.