Remark on the inequality of F. Riesz

W. Łenski

Banach Center Publications (2005)

  • Volume: 68, Issue: 1, page 95-97
  • ISSN: 0137-6934

Abstract

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We prove F. Riesz’ inequality assuming the boundedness of the norm of the first arithmetic mean of the functions | φ | p with p ≥ 2 instead of boundedness of the functions φₙ of an orthonormal system.

How to cite

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W. Łenski. "Remark on the inequality of F. Riesz." Banach Center Publications 68.1 (2005): 95-97. <http://eudml.org/doc/281584>.

@article{W2005,
abstract = {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.},
author = {W. Łenski},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {95-97},
title = {Remark on the inequality of F. Riesz},
url = {http://eudml.org/doc/281584},
volume = {68},
year = {2005},
}

TY - JOUR
AU - W. Łenski
TI - Remark on the inequality of F. Riesz
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 95
EP - 97
AB - 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.
LA - eng
UR - http://eudml.org/doc/281584
ER -

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