scholarly journals Two-weighted estimates for multilinear Hausdorff operators on the Morrey–Herz spaces

2020 ◽  
Vol 5 (4) ◽  
pp. 1780-1813
Author(s):  
Nguyen Minh Chuong ◽  
Dao Van Duong ◽  
Nguyen Duc Duyet
Author(s):  
Nguyen Minh Chuong ◽  
◽  
Dao Van Duong ◽  
Nguyen Duc Duyet ◽  
◽  
...  

2020 ◽  
Vol 18 (1) ◽  
pp. 496-511
Author(s):  
Amna Ajaib ◽  
Amjad Hussain

Abstract In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.


2020 ◽  
Vol 64 (2) ◽  
pp. 35-55
Author(s):  
N. M. Chuong ◽  
D. V. Duong ◽  
N. D. Duyet

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Yue Hu ◽  
Yuexiang He ◽  
Yueshan Wang

LetIlbe the fractional integral,0<l<nand letb∈BMO. We will obtain the weighted estimates for the commutatorb,Ilon the generalized Herz spaces.


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 .


2020 ◽  
pp. 1-10
Author(s):  
Brittany M. Stopa ◽  
Maya Harary ◽  
Ray Jhun ◽  
Arun Job ◽  
Saef Izzy ◽  
...  

OBJECTIVETraumatic brain injury (TBI) is a leading cause of morbidity and mortality in the US, but the true incidence of TBI is unknown.METHODSThe National Trauma Data Bank National Sample Program (NTDB NSP) was queried for 2007 and 2013, and population-based weighted estimates of TBI-related emergency department (ED) visits, hospitalizations, and deaths were calculated. These data were compared to the 2017 Centers for Disease Control and Prevention (CDC) report on TBI, which used the Healthcare Cost and Utilization Project’s National (“Nationwide” before 2012) Inpatient Sample and National Emergency Department Sample.RESULTSIn the NTDB NSP the incidence of TBI-related ED visits was 59/100,000 in 2007 and 62/100,000 in 2013. However, in the CDC report there were 534/100,000 in 2007 and 787/100,000 in 2013. The CDC estimate for ED visits was 805% higher in 2007 and 1169% higher in 2013. In the NTDB NSP, the incidence of TBI-related deaths was 5/100,000 in 2007 and 4/100,000 in 2013. In the CDC report, the incidence was 18/100,000 in both years. The CDC estimate for deaths was 260% higher in 2007 and 325% higher in 2013.CONCLUSIONSThe databases disagreed widely in their weighted estimates of TBI incidence: CDC estimates were consistently higher than NTDB NSP estimates, by an average of 448%. Although such a discrepancy may be intuitive, this is the first study to quantify the magnitude of disagreement between these databases. Given that research, funding, and policy decisions are made based on these estimates, there is a need for a more accurate estimate of the true national incidence of TBI.


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