# On the weak ${L}^{1}$ 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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