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Some embedding theorems for spaces of harmonic functions. / Shirokov, N. A.

In: Journal of Soviet Mathematics, Vol. 14, No. 2, 08.1980, p. 1173-1176.

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

Harvard

Shirokov, NA 1980, 'Some embedding theorems for spaces of harmonic functions', Journal of Soviet Mathematics, vol. 14, no. 2, pp. 1173-1176. https://doi.org/10.1007/BF01562062

APA

Shirokov, N. A. (1980). Some embedding theorems for spaces of harmonic functions. Journal of Soviet Mathematics, 14(2), 1173-1176. https://doi.org/10.1007/BF01562062

Vancouver

Shirokov NA. Some embedding theorems for spaces of harmonic functions. Journal of Soviet Mathematics. 1980 Aug;14(2):1173-1176. https://doi.org/10.1007/BF01562062

Author

Shirokov, N. A. / Some embedding theorems for spaces of harmonic functions. In: Journal of Soviet Mathematics. 1980 ; Vol. 14, No. 2. pp. 1173-1176.

BibTeX

@article{d6afe85b2a944b4ea66c71473105a37b,
title = "Some embedding theorems for spaces of harmonic functions",
abstract = "For the domains of the space Rn, n≥2, with a finite number of conical points, one proves embedding theorems for the spaces of harmonic functions which generalize the Littlewood-Paley and Carleson theorems. Let ∥·∥p, Ω be a norm which is transferred in some natural manner to the space of harmonic functions in the domain Ω and which in the unit circle of the space ℝ2 turns into the norm of the Hardy space Hp and let ℋp(Ω) be the space of harmonic functions in Ω with this norm. One establishes, in particular, sufficient conditions on the measure V, for which one has the inequality[Figure not available: see fulltext.].",
author = "Shirokov, {N. A.}",
year = "1980",
month = aug,
doi = "10.1007/BF01562062",
language = "English",
volume = "14",
pages = "1173--1176",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Some embedding theorems for spaces of harmonic functions

AU - Shirokov, N. A.

PY - 1980/8

Y1 - 1980/8

N2 - For the domains of the space Rn, n≥2, with a finite number of conical points, one proves embedding theorems for the spaces of harmonic functions which generalize the Littlewood-Paley and Carleson theorems. Let ∥·∥p, Ω be a norm which is transferred in some natural manner to the space of harmonic functions in the domain Ω and which in the unit circle of the space ℝ2 turns into the norm of the Hardy space Hp and let ℋp(Ω) be the space of harmonic functions in Ω with this norm. One establishes, in particular, sufficient conditions on the measure V, for which one has the inequality[Figure not available: see fulltext.].

AB - For the domains of the space Rn, n≥2, with a finite number of conical points, one proves embedding theorems for the spaces of harmonic functions which generalize the Littlewood-Paley and Carleson theorems. Let ∥·∥p, Ω be a norm which is transferred in some natural manner to the space of harmonic functions in the domain Ω and which in the unit circle of the space ℝ2 turns into the norm of the Hardy space Hp and let ℋp(Ω) be the space of harmonic functions in Ω with this norm. One establishes, in particular, sufficient conditions on the measure V, for which one has the inequality[Figure not available: see fulltext.].

UR - http://www.scopus.com/inward/record.url?scp=0039891566&partnerID=8YFLogxK

U2 - 10.1007/BF01562062

DO - 10.1007/BF01562062

M3 - Article

AN - SCOPUS:0039891566

VL - 14

SP - 1173

EP - 1176

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 86666826