inclusion theorem
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2019 ◽  
Vol 62 (4) ◽  
pp. 1073-1088 ◽  
Author(s):  
Odysseas Bakas

AbstractIn this note it is shown that the class of all multipliers from the d-parameter Hardy space $H_{{\rm prod}}^1 ({\open T}^d)$ to L2 (𝕋d) is properly contained in the class of all multipliers from L logd/2L (𝕋d) to L2(𝕋d).


Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3883-3891
Author(s):  
Caili Sang ◽  
Jianxing Zhao

Two Z-eigenvalue inclusion theorems for tensors presented by Wang et al. (Discrete Cont. Dyn.-B, 2017, 22(1): 187-198) are first generalized to E-eigenvalue inclusion theorems. And then a tighter E-eigenvalue inclusion theorem for tensors is established. Based on the new set, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to verify the theoretical results.


2014 ◽  
Vol 22 ◽  
pp. 24
Author(s):  
S.V. Goncharov
Keyword(s):  

We obtain generalization of Hardy and Littlewood inclusion theorem for some classes of functions being integrable with a weight on $[-1;1]$.


2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Yingfan Liu ◽  
Youguo Wang

A Rogalski-Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces is proved and composed of two parts. An example is presented to show that the associated set-valued map in the first part does not need any conventional continuity conditions including upper hemicontinuous. As an application, solvability results regarding an abstract von Neumann inclusion system are obtained.


2010 ◽  
Vol 12 (1) ◽  
pp. 1-27 ◽  
Author(s):  
David Billington ◽  
Grigoris Antoniou ◽  
Guido Governatori ◽  
Michael Maher
Keyword(s):  

2010 ◽  
Vol 15 (1) ◽  
pp. 103-112 ◽  
Author(s):  
Anna Šeletski ◽  
Anne Tali

Certain summability methods for functions and sequences are compared by their speeds of convergence. The authors are extending their results published in paper [9] for Riesz‐type families {Aα} (α > α0 ) of summability methods Aα . Note that a typical Riesz‐type family is the family formed by Riesz methods Aα = (R, α), α > 0. In [9] the comparative estimates for speeds of convergence for two methods Aγ and Aβ in a Riesz‐type family {Aα}were proved on the base of an inclusion theorem. In the present paper these estimates are improved by comparing speeds of three methods Aγ, Aβ and Aδ on the base of a Tauberian theorem. As a result, a Tauberian remainder theorem is proved. Numerical examples given in [9] are extended to the present paper as applications of the Tauberian remainder theorem proved here.


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