Record number :
937732
Title of article :
On Some Inequalities with Weights, Examples and Counterexamples
Author/Authors :
P. Weidemaier، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1993
Pages :
6
From page :
405
To page :
410
Abstract :
Inequalities (1) and (2) below are investigated. We show that (1) holds true (for 0 < p < q < ∞) with || ||X = || ||L1(0, A, dx, Lq/p(0, B, dy)), but does not hold (in general) with the weaker norm || ||X = || ||Lq/p(0, B, dy, L1(0, A, dx)). We also show that the weighted Hardy inequality (2) holds true with r = 1 if and only if the positive reals p, q satisfy q ≤ p (cp. Section 2).
Journal title :
Journal of Mathematical Analysis and Applications
Link To Document :