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Weighted estimates of Calderon's commutators on complex plane. / Merkulov, A. S.; Shirokov, N. A.
в: Vestnik St. Petersburg University: Mathematics, Том 43, № 3, 01.09.2010, стр. 163-168.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Weighted estimates of Calderon's commutators on complex plane
AU - Merkulov, A. S.
AU - Shirokov, N. A.
PY - 2010/9/1
Y1 - 2010/9/1
N2 - Let V(z) be a complex-valued function on the complex plane ℂ satisfying the condition {pipe}V(z) - V(ζ){pipe} ≤ w{pipe}z - ζ{pipe}, z, ζ ε ℂ; ω ≥ 0 be a Muckenhoupt A p weight on ℂ; i. e., the inequality, holds for any disk B, {pipe}B{pipe} = σ(B), and σ be the Lebesque measure on ℂ. We define the operator T* n as follows: The main result of this work consists in deriving the estimate, where b(p, n) grows as a power of n.
AB - Let V(z) be a complex-valued function on the complex plane ℂ satisfying the condition {pipe}V(z) - V(ζ){pipe} ≤ w{pipe}z - ζ{pipe}, z, ζ ε ℂ; ω ≥ 0 be a Muckenhoupt A p weight on ℂ; i. e., the inequality, holds for any disk B, {pipe}B{pipe} = σ(B), and σ be the Lebesque measure on ℂ. We define the operator T* n as follows: The main result of this work consists in deriving the estimate, where b(p, n) grows as a power of n.
KW - Calderon's commutators
KW - Muckenhoupt weights
KW - singular integrals
UR - http://www.scopus.com/inward/record.url?scp=84859726404&partnerID=8YFLogxK
U2 - 10.3103/S1063454110030064
DO - 10.3103/S1063454110030064
M3 - Article
AN - SCOPUS:84859726404
VL - 43
SP - 163
EP - 168
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 3
ER -
ID: 48397750