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Some results in harmonic analysis in $$\mathbb{R}^n$$, for $$n\to \infty$$. (English) Zbl 0515.42018

##### MSC:
 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
##### Keywords:
maximal function; singular integrals; Riesz transforms
Full Text:
##### References:
 [1] Elias M. Stein, Topics in harmonic analysis related to the Littlewood-Paley theory., Annals of Mathematics Studies, No. 63, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1970. · Zbl 0193.10502 [2] Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. · Zbl 0207.13501 [3] E. M. Stein, The development of square functions in the work of A. Zygmund, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 359 – 376. · Zbl 0526.01021 [4] E. M. Stein and J.-O. Strömberg, Behavior of maximal functions in \?$$^{n}$$ for large \?, Ark. Mat. 21 (1983), no. 2, 259 – 269. · Zbl 0537.42018 · doi:10.1007/BF02384314 · doi.org
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