vaguely bounded operator

It is obtained that Iα is a bounded operator from Lp(Rn) into the Lorentz space Lq,∞(Rn).证明了Iα是从Lp(Rn)到Lorentz空间Lq,∞(Rn)的有界算子,同时还证明了增长条件μ(S(x,r))≤Crn,x∈Rn,r>0是上述结论成立的必要条件。teb汉语字典

Some necessary and sufficient conditions are given for which M_(φ) is a bounded operator from B~α to B~β_0(respectively,from B~α_0 to B~β).研究单位圆盘上的小B loch型空间B0α和B loch型空间Bβ之间的点乘算子M,在多种情况下给出了M是从Bα(B0α)空间到B0β(Bβ)空间的有界算子的充分必要条件。teb汉语字典

This note proves that for every f∈C(\;X), the continuous functionu,u(t)=∫ t 0S(t-s)f(s) d s, t∈is a strong (classical) solution of the second inhomogeneous zero initial value problem u″=Au+f, in \, iff A is a bounded operator in X.本文证明了 ,对每个 f∈ C([0 ,T];X) ,连续函数u,u(t) =∫t0 S(t-s) f (s) ds,t∈ [0 ,T]是二阶非齐次 0初值问题 u″=Au+f 的强解的充要条件是 :A是空间 X中的有界算子 。teb汉语字典

Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.良有界算子是这样一类算子，它对于在某个紧区间上绝对连续的函数具有有界的函数演算。teb汉语字典

Shows that R(X),the class of Riesz operators,on a Σ1e type Banach space is equal to In(X),the ideal of inessential operators, so R(X) is a closed by operator norm,two-sided ideal in B(X) of co-dimension one;gives some properties of well-bounded operators on such spaces.证明了Σe1型Banach空间X上黎斯算子类R(X)就等于非本性算子理想In(X),从而R(X)是B(X)中亏维为1的依算子范数闭的双侧理想;给出Σe1型Banach空间上良有界算子的一些性质。teb汉语字典

The semibounded operators in Menger PN spaces;Menger PN空间上的半有界算子(英文)teb汉语字典

Relationship among semi-bounded operators bounded operators and continuous operators拟有界算子与有界算子、连续算子间的关系teb汉语字典

Properties of Riesz Operators and Well-bounded Operators on Σ_e~1 Type Banach SpacesΣ_e~1型Banach空间上黎斯算子和良有界算子的性质teb汉语字典

The Boundedness of Operator with Respect to Vilenkin-Like System;Vilenkin-Like系统上算子有界性teb汉语字典

The strong boundedness,boundedness, continuous of the operator T;算子T的强有界、有界和连续性问题teb汉语字典

Iterative Algorithms for Approximating Solutions of Operator Equations Governed by Strongly Monotone and Boundedly Lipschitzian Operators强单调有界Lipschitz算子方程解的迭代算法teb汉语字典

Boundedness of Fourier Integral Operator and of Multilinear Commutators of Marcinkiewicz Integral Operator;Fourier积分算子和Marcinkiewicz积分算子的交换子的有界性teb汉语字典

Boundedness of the Commutators of Littlewood-Paley Operators;Littlewood-Paley算子交换子的有界性问题teb汉语字典

Boundedness for a Class of Marcinkiewicz Integral Operators and Its Commutators;Marcinkiewicz积分算子及其交换子的有界性teb汉语字典

Mbekhta s Subspaces and Invertibility of Operators;MBEKHTA子空间与有界线性算子的可逆性teb汉语字典

Boundedness of Commutators of Generalized Calderón-Zygmund Operators;广义Calderón-Zygmund算子交换子的有界性teb汉语字典

Boundedness of Multilinear Commutators of Littlewood-Paley OperatorLittlewood-Paley算子的多线性交换子的有界性teb汉语字典

The Boundedness of Commutator of Multilinear Singular Integral Operator of Calderón-Zygmund多线性Calderón-Zygmund算子交换子的有界性teb汉语字典

Boundedness for Commutators of Littlewood-Paley Operators on Hardy-Lorentz SpacesLittlewood-Paley算子交换子的有界性teb汉语字典

Boundedness of Littlewood-Paley operators and its commutatorsLittlewood-Paley算子及其交换子的有界性teb汉语字典

On Boundedness,Stronge Boundedness and Continuity of Additive Operators关于可加算子的有界、强有界与连续性研究teb汉语字典

The Boundedness for Multilinear Commutator of Multiplier Operator乘子算子的多线性交换子的有界性研究teb汉语字典

The Boundedness of Multilinear Commutators of Marcinkiewicz Operator;多线性Marcinkiewicz算子有界性研究teb汉语字典

The Asymptotic Trace of Dirac Eigenvalue Problem with Unlocal Boundary Conditions;带有非局部边界条件的Dirac算子的迹teb汉语字典