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On the definition of B-points of a Borel charge on the real line. / Mozolyako, P. A.

In: Journal of Mathematical Sciences , Vol. 182, No. 5, 01.05.2012, p. 690-698.

Research output: Contribution to journal › Article › peer-review

Harvard

Mozolyako, PA 2012, 'On the definition of B-points of a Borel charge on the real line', Journal of Mathematical Sciences , vol. 182, no. 5, pp. 690-698. https://doi.org/10.1007/s10958-012-0773-8

APA

Mozolyako, P. A. (2012). On the definition of B-points of a Borel charge on the real line. Journal of Mathematical Sciences , 182(5), 690-698. https://doi.org/10.1007/s10958-012-0773-8

Vancouver

Mozolyako PA. On the definition of B-points of a Borel charge on the real line. Journal of Mathematical Sciences . 2012 May 1;182(5):690-698. https://doi.org/10.1007/s10958-012-0773-8

Author

Mozolyako, P. A. / On the definition of B-points of a Borel charge on the real line. In: Journal of Mathematical Sciences . 2012 ; Vol. 182, No. 5. pp. 690-698.

BibTeX

@article{cc1adb13a7414a1ca1fb5ac69cfec2fb,
title = "On the definition of B-points of a Borel charge on the real line",
abstract = "Let μ be a Borel charge (i. e., a real Borel measure) on ℝ, and let P (y) (t)=y/π(y 2+t 2),y > 0, t ∈ ℝ, denote the Poisson kernel. Bourgain proved that for a nonnegative μ and for many points t ∈ ℝ, the variation of the function y{mapping}(μ*P (y)) on (0, 1] is finite. This is true, in particular, for so-called B-points x introduced in a previous author's paper, In the present paper, we give new descriptions of B-points which are adjusted to some applications of this notion. Bibliography: 5 titles. {\textcopyright} 2012 Springer Science+Business Media, Inc.",
author = "Mozolyako, {P. A.}",
year = "2012",
month = may,
day = "1",
doi = "10.1007/s10958-012-0773-8",
language = "English",
volume = "182",
pages = "690--698",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - On the definition of B-points of a Borel charge on the real line

AU - Mozolyako, P. A.

PY - 2012/5/1

Y1 - 2012/5/1

N2 - Let μ be a Borel charge (i. e., a real Borel measure) on ℝ, and let P (y) (t)=y/π(y 2+t 2),y > 0, t ∈ ℝ, denote the Poisson kernel. Bourgain proved that for a nonnegative μ and for many points t ∈ ℝ, the variation of the function y{mapping}(μ*P (y)) on (0, 1] is finite. This is true, in particular, for so-called B-points x introduced in a previous author's paper, In the present paper, we give new descriptions of B-points which are adjusted to some applications of this notion. Bibliography: 5 titles. © 2012 Springer Science+Business Media, Inc.

AB - Let μ be a Borel charge (i. e., a real Borel measure) on ℝ, and let P (y) (t)=y/π(y 2+t 2),y > 0, t ∈ ℝ, denote the Poisson kernel. Bourgain proved that for a nonnegative μ and for many points t ∈ ℝ, the variation of the function y{mapping}(μ*P (y)) on (0, 1] is finite. This is true, in particular, for so-called B-points x introduced in a previous author's paper, In the present paper, we give new descriptions of B-points which are adjusted to some applications of this notion. Bibliography: 5 titles. © 2012 Springer Science+Business Media, Inc.

UR - http://www.scopus.com/inward/record.url?scp=84860370714&partnerID=8YFLogxK

U2 - 10.1007/s10958-012-0773-8

DO - 10.1007/s10958-012-0773-8

M3 - Article

AN - SCOPUS:84860370714

VL - 182

SP - 690

EP - 698

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 119109614