Lp INEQUALITIES AND ADMISSIBLE OPERATOR FOR POLYNOMIALS

(整期优先)网络出版时间:2012-02-12
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Letp(z)beapolynomialofdegreeatmostn.Inthispaperweobtainsomenewresultsaboutthedependenceofp(Rz)-βp(rz)+α(R+1/r+1)n-|β|p(rz)sonp(z)sforeveryα,β∈Cwith|α|≤1,|β|≤1,R>r1,ands>0.Ourresultsnotonlygeneralizesomewellknowninequalities,butalsoarevarietyofinterestingresultsdeducedfromthembyafairlyuniformprocedure.