Bergman空間上的一些控制.pdf

1、河北工業(yè)大學(xué)碩士學(xué)位論文Bergman空間上的一些控制姓名：潘寶柱申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：王春杰20081201Bergman # ? o A K 7 & zDOMINATION IN THE BERGMAN SPACEABSTRACTIn this paper we discuss the domination in the Bergman space and obtain thefollowing resu

2、lts:let a ∈ C1 ? Suppose m > n ≥ 1 and |a| ≤ b0? then zm + a ? zn(1 + azm), where m, n ∈ Nandb0 = ? [(n + 1) + (m + 1)(m + n + 1)]2(m + 2)(n + 1)(m + 1)+?[n + 1 + (m + 1)(m + n + 1)]2 + 4(m + 2)(n + 1)(m + 1)(m ? n)(m

3、 + n + 1)2(m + 2)(n + 1)(m + 1)2 ?Suppose |a| ≤ A0, then az ? (a ? z)2, where A0 is the unique root of theequation?12 + 54x ? 13x2 + 70x3 ? 20x4 = 0in (0, 1) ? A0 ≈ 0.2208798 ?3 ? There exists an absolute constant a0, wi