Remark on the inequality of F. Riesz
W. Łenski
Banach Center Publications, Tome 68 (2005), p. 95-97 / Harvested from The Polish Digital Mathematics Library
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We prove F. Riesz’ inequality assuming the boundedness of the norm of the first arithmetic mean of the functions |φₙ|p with p ≥ 2 instead of boundedness of the functions φₙ of an orthonormal system.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281584 
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     author = {W. \L enski},
     title = {Remark on the inequality of F. Riesz},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {95-97},
     zbl = {1130.42026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-11}
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W. Łenski. Remark on the inequality of F. Riesz. Banach Center Publications, Tome 68 (2005) pp. 95-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-11/