Results 11 to 20 of about 528 (95)

An introduction to finite fibonomial calculus

open access: yesOpen Mathematics, 2004
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
doaj   +2 more sources

An asymmetric Putnam-Fuglede theorem for *-paranormal operators [PDF]

open access: yes, 2015
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
core   +1 more source

Some necessary and sufficient conditions for a VMO function

open access: yesJournal of Mathematical Inequalities, 2020
. 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
semanticscholar   +1 more source

Estimates for bilinear θ-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2023
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
doaj   +1 more source

A quantitative version of the commutator theorem for zero trace matrices [PDF]

open access: yes, 2012
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
core   +3 more sources

A note on commutators of strongly singular Calderón-Zygmund operators

open access: yesOpen Mathematics, 2022
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
doaj   +1 more source

Commutativity of Toeplitz operators on the Bergman spaces of the unit disk

open access: yes, 2020
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
semanticscholar   +1 more source

Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]

open access: yes, 2006
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
core   +5 more sources

Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

open access: yesDemonstratio Mathematica, 2021
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
doaj   +1 more source

Analysis of the energy decay of a viscoelasticity type equation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
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
doaj   +1 more source

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