The Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial of order 【 N = (q + 1)n - 1 is established in a Ba space. As a corollary, the Marcinkiewicz-Zygmund inequality with derivative for an a...The Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial of order 【 N = (q + 1)n - 1 is established in a Ba space. As a corollary, the Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial in a particular Orlicz space is obtained.展开更多
In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a...In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a special class of Ba spaces on R and then point out a relationship between BMOA(R)and Ba(R).展开更多
The Ba space was introduced and studied at first in [1]. It has been effectively applied to the prior estimates for linear partial differential equations, to the calculus of variations with strong nonlinearity, to the...The Ba space was introduced and studied at first in [1]. It has been effectively applied to the prior estimates for linear partial differential equations, to the calculus of variations with strong nonlinearity, to the error estimations for finite difference methods and to harmonic analysis (cf.[1--8] ). The goal of this report is to study the Littlewood-Paley theory in the Ba spaces.展开更多
基金This research is supported by the National Natural Science Foundation(69972036) and the DoctorateFoundation(02J20102-06)of Ningbo City.
文摘The Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial of order 【 N = (q + 1)n - 1 is established in a Ba space. As a corollary, the Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial in a particular Orlicz space is obtained.
基金Project supported by the National Natural Science Foundation of China
文摘In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a special class of Ba spaces on R and then point out a relationship between BMOA(R)and Ba(R).
文摘The Ba space was introduced and studied at first in [1]. It has been effectively applied to the prior estimates for linear partial differential equations, to the calculus of variations with strong nonlinearity, to the error estimations for finite difference methods and to harmonic analysis (cf.[1--8] ). The goal of this report is to study the Littlewood-Paley theory in the Ba spaces.
