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Comparison theorems for supremum norms

โœ Scribed by Hans Schneider; W. Gilbert Strang

Book ID
105172813
Publisher
Springer-Verlag
Year
1962
Tongue
English
Weight
217 KB
Volume
4
Category
Article
ISSN
0029-599X

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A reduction theorem for supremum operato
A reduction theorem for supremum operators
โœ Amiran Gogatishvili; Luboลก Pick ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

We show that the two-weight Hardy inequality restricted to nonincreasing functions, namely , where 0 < p 1 and 0 < q < โˆž, is equivalent to slightly different inequalities. Consequently, we can reduce this inequality to a pair of unrestricted inequalities (a reduction theorem). As an application, we