cesaro operator
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2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hadi Roopaei

AbstractIn this paper, we introduce two factorizations for the Cesàro matrix of order n based on Cesàro and gamma matrices. The results of these factorizations are new inequalities, one of which is a generalized version of the well-known Hardy’s inequality. Moreover, we obtain the norm of Cesàro operator of order n on Cesàro and gamma matrix domains.



2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Faouaz Saadi ◽  
Othman Tyr ◽  
Radouan Daher

In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators H α , φ on the Dunkl-type homogeneous weighted Herz spaces K ̇ α , q β , p ℝ and Dunkl Herz-type Hardy spaces H K ̇ α , q β , p , N ℝ . We have determined simple sufficient conditions for these operators to be bounded on these spaces. As applications, we provide necessary and sufficient conditions for generalized Cesàro operator to be bounded on K ̇ α , q β , p ℝ and Hardy inequality for K ̇ α , q β , p ℝ .



2021 ◽  
Vol 42 (1) ◽  
pp. 69-84
Author(s):  
Si Xu ◽  
Xuejun Zhang ◽  
Shenlian Li


2020 ◽  
Vol 2 (2) ◽  
pp. 64-68
Author(s):  
E. Herawati ◽  
Supama

The Cesàro operators are investigated on the class -valued sequence spaces , and with is a Riesz space. Besides, we also carry out that are order bounded operators.



2020 ◽  
Vol 358 (5) ◽  
pp. 615-620 ◽  
Author(s):  
Ilgiz R. Kayumov ◽  
Diana M. Khammatova ◽  
Saminathan Ponnusamy




2020 ◽  
Vol 5 (4) ◽  
pp. 1667-1683
Author(s):  
Ajay K. Sharma ◽  
Vivek Kumar


2020 ◽  
Vol 70 (1) ◽  
pp. 147-150
Author(s):  
Vasile Lauric

AbstractIn this note we will prove that the trace of a commutator of the discrete Cesáro operator and a compact operator is zero when the commutator belongs to the trace-class.



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