A littlewood-paley inequality for the carleson operator

Journal of Fourier Analysis and Applications

Volumn 6, Issue 5, 2000, Pages 457-466

  Prestini, Elena ^a   Sjölin, Per ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Fourier series; Lp estimates; Littlewood paley inequality; Maximal partial sum operator; Maximal singular integrals

Indexed keywords

EID: 23044523546     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02511540     Document Type: Article

References (8)

1. Carleson, L. (1966). On convergence and growth of partial sums of Fourier series, Acta Math., 111, 135-157.
2. Fefferman, C. (1973). Pointwise convergence of Fourier series, Ann. Math., 98, 551-571.
3. García-Cuerva, J. and Rubio de Francia, J.L. (1985). Weighted Norm Inequalities and Related Topics, Mathematics studies, North-Holland.
4. Hunt, R.A. (1968). On the convergence of Fourier series, Orthogonal expansions and their continuous analogues, Proceedings of the Conference held at Southern Illinois University, Edwardsville, 1967. SIU Press, Carbondale, IL.
5. Prestini, E. Singular integrals on product spaces related to Carleson operator, preprint.
6. Rubio de Francia, J.L., Ruiz, F.J., and Torrea, J.L. (1986). Calderón-Zygmund theory for operator-valued kernels, Adv. Math., 62, 7-48.
7. Sjölin, P. (1971). Convergence almost everywhere of certain singular integrals and multiple Fourier series, Arkiv f. matematik, 9, 65-90.
8. Stein, E.M. (1970). Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ.