riesz inequality
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2020 ◽  
Vol 19 ◽  

An ordinary differential operator of second order with coefficients is considered. The Riesz property of the system of root functions of the given operator is studied. The criterion of Bessel property in 2 L , of root functions system is established and use it to obtain sufficient conditions for the Riesz property of a system of normalized root functions of this operator in p L .





2012 ◽  
Vol 48 (3) ◽  
pp. 336-342 ◽  
Author(s):  
V. M. Kurbanov ◽  
A. I. Ismailova


2011 ◽  
Vol 27 (10) ◽  
pp. 1995-2004
Author(s):  
Hasi Wulan ◽  
Fang Qin Ye


2008 ◽  
Vol 2008 ◽  
pp. 1-12
Author(s):  
Zhou Yu ◽  
Gao Mingzhe

This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real functionu(x)and a parameterλ. In particular, some sharp results of the classical Hilbert inequality are obtained by means of a sharpening of the Cauchy inequality. As applications, some refinements of both the Fejer-Riesz inequality and Hardy inequality inHpfunction are given.





1984 ◽  
Vol 36 (4) ◽  
pp. 581-590
Author(s):  
Nozomu Mochizuki


1981 ◽  
Vol 33 (4) ◽  
pp. 493-501 ◽  
Author(s):  
Morisuke Hasumi ◽  
Nozomu Mochizuki


1977 ◽  
Vol 61 (3) ◽  
pp. 269-278 ◽  
Author(s):  
Yoram Sagher
Keyword(s):  


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