Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 153-162
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In this paper, we establish several weighted ${{L}^{p}}\left( 1\,<\,p\,\infty\right)$ Hardy type inequalities related to the generalized Greiner operator by improving the method of Kombe. Then the best constants in inequalities are discussed by introducing new polar coordinates.
Mots-clés :
35B05, 35H99, generalized Greiner operator, polar coordinates, Hardy inequality
Niu, Pengcheng; Ou, Yafei; Han, Junqiang. Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 153-162. doi: 10.4153/CMB-2010-029-9
@article{10_4153_CMB_2010_029_9,
author = {Niu, Pengcheng and Ou, Yafei and Han, Junqiang},
title = {Several {Hardy} {Type} {Inequalities} with {Weights} {Related} to {Generalized} {Greiner} {Operator}},
journal = {Canadian mathematical bulletin},
pages = {153--162},
year = {2010},
volume = {53},
number = {1},
doi = {10.4153/CMB-2010-029-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-029-9/}
}
TY - JOUR AU - Niu, Pengcheng AU - Ou, Yafei AU - Han, Junqiang TI - Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator JO - Canadian mathematical bulletin PY - 2010 SP - 153 EP - 162 VL - 53 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-029-9/ DO - 10.4153/CMB-2010-029-9 ID - 10_4153_CMB_2010_029_9 ER -
%0 Journal Article %A Niu, Pengcheng %A Ou, Yafei %A Han, Junqiang %T Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator %J Canadian mathematical bulletin %D 2010 %P 153-162 %V 53 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-029-9/ %R 10.4153/CMB-2010-029-9 %F 10_4153_CMB_2010_029_9
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