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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.
Original language | English |
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Pages (from-to) | 163-168 |
Number of pages | 6 |
Journal | Vestnik St. Petersburg University: Mathematics |
Volume | 43 |
Issue number | 3 |
DOIs | |
State | Published - 1 Sep 2010 |
ID: 48397750