scholarly journals Epsilon-nets: Weighted case

2022 ◽  
pp. 113-129
Keyword(s):  
Epsilon Nets ◽  
Weighted Case

Weighted higher order exponential type inequalities in metric spaces and applications

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Huiju Wang ◽  
Pengcheng Niu
Keyword(s):  
Homogeneous Space ◽  
Lie Groups ◽  
Sobolev Spaces ◽  
Exponential Type ◽  
Metric Spaces ◽  
Type Inequality ◽  
Higher Order ◽  
Geodesic Space ◽  
Stratified Lie Groups ◽  
Weighted Case

AbstractIn this paper, we establish weighted higher order exponential type inequalities in the geodesic space {({X,d,\mu})} by proposing an abstract higher order Poincaré inequality. These are also new in the non-weighted case. As applications, we obtain a weighted Trudinger’s theorem in the geodesic setting and weighted higher order exponential type estimates for functions in Folland–Stein type Sobolev spaces defined on stratified Lie groups. A higher order exponential type inequality in a connected homogeneous space is also given.

Weighted renewal functions: a hierarchical approach

2002 ◽  
Vol 34 (02) ◽  
pp. 394-415 ◽  
Author(s):  
Edward Omey ◽  
Jef L. Teugels
Keyword(s):  
Hierarchical Approach ◽  
Weighting Coefficients ◽  
Weighted Case

We extend classical renewal theorems to the weighted case. A hierarchical chain of successive sharpenings of asymptotic statements on the weighted renewal functions is obtained by imposing stronger conditions on the weighting coefficients.

scholarly journals The Exact Exponent of Sparse Grid Quadratures in the Weighted Case

2001 ◽  
Vol 17 (4) ◽  
pp. 840-849 ◽  
Author(s):  
Leszek Plaskota ◽  
Grzegorz W. Wasilkowski
Keyword(s):  
Sparse Grid ◽  
Weighted Case

Epsilon Nets

2011 ◽  
pp. 326-327
Author(s):  
John Langford ◽  
Xinhua Zhang ◽  
Gavin Brown ◽  
Indrajit Bhattacharya ◽  
Lise Getoor ◽  
...  
Keyword(s):  
Epsilon Nets

scholarly journals Compact bilinear commutators: The weighted case

2015 ◽  
Vol 64 (1) ◽  
pp. 39-51 ◽  
Author(s):  
Arpad Benyi ◽  
Wendolin Damian ◽  
Kabe Moen ◽  
Rodolfo Torres
Keyword(s):  
Weighted Case
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