Results 11 to 20 of about 528 (95)
An introduction to finite fibonomial calculus
This is an indicatory presentation of main definitions and theorems of fibonomial calculus which is a special case of psi-extented rota's finite operator calculus.Comment: 16 ...
Krot Ewa
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An asymmetric Putnam-Fuglede theorem for *-paranormal operators [PDF]
The well-known asymmetric form of Putnam-Fuglede theorem asserts that if $A$ and $B$ are bounded normal operators and $AX = XB^*$ for some bounded operator $X$, then $A^*X = XB$. In this paper we showed that the above theorem does not hold for paranormal
Bachir, Ahmed, Pagacz, Patryk
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Some necessary and sufficient conditions for a VMO function
. Let (cid:2) L p , λ ( R n ) ( W (cid:2) L q , λ ( R n )) be the (weak) modi fi ed Morrey spaces. In this paper, for some appropriate indices p , λ and q , we fi rstly prove that the commutator [ b , I α ] , generated by the symbol b and the fractional ...
Guangqing Wang, Jin ui Li
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Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui +2 more
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A quantitative version of the commutator theorem for zero trace matrices [PDF]
Let $A$ be a $m\times m$ complex matrix with zero trace and let $\e>0$. Then there are $m\times m$ matrices $B$ and $C$ such that $A=[B,C]$ and $\|B\|\|C\|\le K_\e m^\e\|A\|$ where $K_\e$ depends only on $\e$.
Johnson, William B. +2 more
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A note on commutators of strongly singular Calderón-Zygmund operators
In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
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Commutativity of Toeplitz operators on the Bergman spaces of the unit disk
In this paper we give some necessary and sufficient conditions that Toeplitz operators with special symbols commute with Toeplitz operators with harmonic symbols on the Bergman space. Mathematics subject classification (2010): 47B35, 47B47.
C. Liu
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Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
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Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces
Let ℋ{\mathcal{ {\mathcal H} }} be a complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) denotes the algebra of all bounded linear operators acting on ℋ{\mathcal{ {\mathcal H} }}.
Mesbah Nadia +2 more
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Analysis of the energy decay of a viscoelasticity type equation
In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1).
Atallah-Baraket Amel, Trabelsi Maryem
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