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Results 1 - 4 of 4 |
1. CMB 2008 (vol 51 pp. 236)
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Kolmogorov, Linear and Pseudo-Dimensional Widths of Classes of $s$-Monotone Functions in $\mathbb{L}_p$, $0 Let $B_p$ be the unit ball in $\mathbb{L}_p$, $0 Keywords:Kolmogorov width, linear width, pseudo-dimensional widths, $s$-monotone functions Categories:41A46, 46E35, 41A29 |
2. CMB 2004 (vol 47 pp. 540)
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Compactness of Hardy-Type Operators over Star-Shaped Regions in $\mathbb{R}^N$ We study a compactness property of the operators between weighted
Lebesgue spaces that average a function over certain domains involving
a star-shaped region. The cases covered are (i) when the average is
taken over a difference of two dilations of a star-shaped region in
$\RR^N$, and (ii) when the average is taken over all dilations of
star-shaped regions in $\RR^N$. These cases include, respectively,
the average over annuli and the average over balls centered at origin.
Keywords:Hardy operator, Hardy-Steklov operator, compactness, boundedness, star-shaped regions Categories:46E35, 26D10 |
3. CMB 2004 (vol 47 pp. 206)
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The Poincaré Inequality and Reverse Doubling Weights We show that Poincar\'e inequalities with reverse doubling weights hold in a
large class of irregular domains whenever the weights satisfy certain
conditions. Examples of these domains are John domains.
Keywords:reverse doubling weights, Poincaré inequality, John domains Category:46E35 |
4. CMB 1998 (vol 41 pp. 257)
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Note on the support of Sobolev functions We prove a topological restriction on the support of Sobolev functions.
Categories:46E35, 31B05 |