Title of article :
An equivalence theorem for some integral conditions
with general measures related to Hardy’s inequality
Author/Authors :
Christopher A. Okpoti، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Abstract :
It is proved that, besides the usual Muckenhoupt condition, there exist four different scales of conditions
for characterizing the Hardy type inequality with general measures for the case 1 < p q <∞. In fact,
an even more general equivalence theorem of independent interest is proved and discussed.
© 2006 Elsevier Inc. All rights reserved
Keywords :
Hardy’s inequality , Discrete Hardy’s inequality , Hardy’s inequality withgeneral measures , Hardy operator , Equivalent integral conditions , COMPARISONS , Weight functions , Weight sequences , inequalities , Scales of characterizations
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
