Hardy's inequality related to a Bernoulli equation

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The weighted Hardy's inequality is known asbegin{displaymath}int_a^b |u(x)|^{p}r(x)dx leq Cint_a^b|u'(x)|^{p}s(x)dxend{displaymath}where -infty leq a leq b leq infty and 1<p< infty. Thepurpose of this article is to provide a useful formulato express the weight r(x) in terms of s(x) or vice versaemploying a Bernoulli equation having the other weight ascoefficients.
Publisher
KOREAN MATHEMATICAL SOC
Issue Date
2002-02
Language
English
Citation

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.39, no.1, pp.81 - 87

ISSN
1015-8634
URI
http://hdl.handle.net/10203/6472
Appears in Collection
MT-Journal Papers(저널논문)
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