In this paper we consider a class of polynomials P（z）=a0＋∑v^n=tavZv, t≥ 1, not vanishing in ｜z｜ 〈k, k≥1 and investigate the dependence of max｜z｜=1 ｜P（Rz） -P（rz）] on max｜z｜=1｜P（z）｜, where 1≤ r 〈...In this paper we consider a class of polynomials P（z）=a0＋∑v^n=tavZv, t≥ 1, not vanishing in ｜z｜ 〈k, k≥1 and investigate the dependence of max｜z｜=1 ｜P（Rz） -P（rz）] on max｜z｜=1｜P（z）｜, where 1≤ r 〈 R. Our result generalizes and refines some known polynomial inequalities.展开更多
We obtain weak type （1, q） inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces. The proofs use some properties of maximal operators. Our results are closely related to the str...We obtain weak type （1, q） inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces. The proofs use some properties of maximal operators. Our results are closely related to the strong type inequalities in [13, 14, 15].展开更多
文摘In this paper we consider a class of polynomials P（z）=a0＋∑v^n=tavZv, t≥ 1, not vanishing in ｜z｜ 〈k, k≥1 and investigate the dependence of max｜z｜=1 ｜P（Rz） -P（rz）] on max｜z｜=1｜P（z）｜, where 1≤ r 〈 R. Our result generalizes and refines some known polynomial inequalities.
基金Supported by Fundamental Research Program 2011-2012
文摘We obtain weak type （1, q） inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces. The proofs use some properties of maximal operators. Our results are closely related to the strong type inequalities in [13, 14, 15].
