On the weak space and singular measures
Annales de l'institut Fourier (1982)
- Volume: 32, Issue: 1, page 119-128
- ISSN: 0373-0956
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topKaufman, Robert. "On the weak $L^1$ space and singular measures." Annales de l'institut Fourier 32.1 (1982): 119-128. <http://eudml.org/doc/74521>.
@article{Kaufman1982,
abstract = {We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak $L^1$ space; symmetric sets of constant ratio occur in an unexpected way.},
author = {Kaufman, Robert},
journal = {Annales de l'institut Fourier},
keywords = {Fourier partial sums; symmetric sets},
language = {eng},
number = {1},
pages = {119-128},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the weak $L^1$ space and singular measures},
url = {http://eudml.org/doc/74521},
volume = {32},
year = {1982},
}
TY - JOUR
AU - Kaufman, Robert
TI - On the weak $L^1$ space and singular measures
JO - Annales de l'institut Fourier
PY - 1982
PB - Association des Annales de l'Institut Fourier
VL - 32
IS - 1
SP - 119
EP - 128
AB - We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak $L^1$ space; symmetric sets of constant ratio occur in an unexpected way.
LA - eng
KW - Fourier partial sums; symmetric sets
UR - http://eudml.org/doc/74521
ER -
References
top- [1] R. KAUFMAN, On transformations of exceptional sets, Bull. Greek Math. Soc., 18 (1977), 176-185. Zbl0438.43007MR81g:43011
- [2] E.M. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton, 1970. Zbl0207.13501MR44 #7280
- [3] A. ZYGMUND, Trigonometric Series, I, II, Cambridge, 1959 and 1968. Zbl0085.05601
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