Standard

Boundedness of a variation of the positive harmonic function along the normals to the boundary. / Mozolyako, P.; Havin, V. P.

в: St. Petersburg Mathematical Journal, Том 28, № 3, 01.01.2017, стр. 345-375.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Mozolyako, P & Havin, VP 2017, 'Boundedness of a variation of the positive harmonic function along the normals to the boundary', St. Petersburg Mathematical Journal, Том. 28, № 3, стр. 345-375. https://doi.org/10.1090/spmj/1454

APA

Mozolyako, P., & Havin, V. P. (2017). Boundedness of a variation of the positive harmonic function along the normals to the boundary. St. Petersburg Mathematical Journal, 28(3), 345-375. https://doi.org/10.1090/spmj/1454

Vancouver

Mozolyako P, Havin VP. Boundedness of a variation of the positive harmonic function along the normals to the boundary. St. Petersburg Mathematical Journal. 2017 Янв. 1;28(3):345-375. https://doi.org/10.1090/spmj/1454

Author

Mozolyako, P. ; Havin, V. P. / Boundedness of a variation of the positive harmonic function along the normals to the boundary. в: St. Petersburg Mathematical Journal. 2017 ; Том 28, № 3. стр. 345-375.

BibTeX

@article{9a66083b897043a39cd5512b87712db9,
title = "Boundedness of a variation of the positive harmonic function along the normals to the boundary",
abstract = "Let u be a positive harmonic function on the unit disk. Bourgain showed that the radial variation of u is finite for many points θ, and moreover, that the set is dense in the unit circle T and its Hausdorff dimension equals one. In the paper, this result is generalized to a class of smooth domains in Rd, d ≥ 3.",
keywords = "Bourgain points, Mean variation, Normal variation, Positive harmonic functions",
author = "P. Mozolyako and Havin, {V. P.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1090/spmj/1454",
language = "English",
volume = "28",
pages = "345--375",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Boundedness of a variation of the positive harmonic function along the normals to the boundary

AU - Mozolyako, P.

AU - Havin, V. P.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Let u be a positive harmonic function on the unit disk. Bourgain showed that the radial variation of u is finite for many points θ, and moreover, that the set is dense in the unit circle T and its Hausdorff dimension equals one. In the paper, this result is generalized to a class of smooth domains in Rd, d ≥ 3.

AB - Let u be a positive harmonic function on the unit disk. Bourgain showed that the radial variation of u is finite for many points θ, and moreover, that the set is dense in the unit circle T and its Hausdorff dimension equals one. In the paper, this result is generalized to a class of smooth domains in Rd, d ≥ 3.

KW - Bourgain points

KW - Mean variation

KW - Normal variation

KW - Positive harmonic functions

UR - http://www.scopus.com/inward/record.url?scp=85017122151&partnerID=8YFLogxK

U2 - 10.1090/spmj/1454

DO - 10.1090/spmj/1454

M3 - Article

AN - SCOPUS:85017122151

VL - 28

SP - 345

EP - 375

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 119109314