References
S. V. Bockariev, The logaritmic growth of the aritmetic means of the Lebesgue functions with respect to bounded orthonormal systems,DAN SSSR,223 (1975), 16–19 (in Russian).
J. A. Chao, Hardy spaces on regular martingales, Martingale Theory in Harmonic Analysis and Banach Spaces, Cleveland, Ohio, 1981, 18–28.,Lecture Notes in Mathematics,939, Springer (Berlin).
J. D. Chen, A theorem of Kaczmarz on multiple generalized Walsh-Fourier series,Bull. Inst. Math. Acad. Sinica,10 (1982), 205–212.
R.R. Coifman, G. L. Weiss, Extensions of Hardy spaces and their use in analysis,Bull. Amer. Math. Soc.,83 (1977), 569–645.
B. I. Golubov, On a class of complete orthogonal systems,Sib. Mat. Z.,9 (1968), 297–314 (in Russian).
F. Móricz, Lebesgue functions and multiple function series I.,Acta Math. Acad. Sci. Hungar.,37 (1981), 481–496.
P. Simon, Investigations with respect to the Vilenkin system,Annales Univ. Sci. Budapest (to appear).
N. Ja. Vilenkin, On a class of complete orthonormal systems,Izv. Akad. Nauk SSSR, ser. mat.,11 (1947), 363–400.
C. Watari, On generalized Walsh-Fourier series,Tohoku Math. J.,10 (1958), 211–241.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fridli, S., Simon, P. On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system. Acta Math Hung 45, 223–234 (1985). https://doi.org/10.1007/BF01955039
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01955039