Geodesic
Approximation properties of generalized Bochner-Riesz means in the Hardy spaces $H_p$, $0$
Sbornik. Mathematics, Tome 203 (2012) no. 8, pp. 1151-1168

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A test for the convergence of the generalized spherical and $\ell_1$ Bochner-Riesz means in the Hardy spaces $H_p(D^n)$, $0$, is obtained, where $D^n$ is the unit polydisc. Precise orders of the approximation of functions by the generalized $\ell_q$ Bochner-Riesz means in terms of the $K$-functional and special moduli of smoothness are found. Bibliography: 31 titles.
Keywords: Hardy spaces in a polydisc, generalized Bochner-Riesz means, $K$-functional, moduli of smoothness, Bernstein-type inequalities. 
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     author = {Yu. S. Kolomoitsev},
     title = {Approximation properties of generalized {Bochner-Riesz} means in the {Hardy} spaces $H_p$, $0<p\le 1$},
     journal = {Sbornik. Mathematics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_8_a3/}
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Yu. S. Kolomoitsev. Approximation properties of generalized Bochner-Riesz means in the Hardy spaces $H_p$, $0