Kolmogorov compactness criterion in variable exponent Lebesgue spaces

Details Kolmogorov compactness criterion in variable exponent Lebesgue spaces Kolmogorov compactness criterion in variable exponent Lebesgue spaces

2009-03-18

arxiv.org/abs/0903.3214v1

Proc. A. Razmadze Math. Inst. 150 (2009), 105-113.

Mathematics

Functional Analysis

8 pages

Scientific paper

The well-known Kolmogorov compactness criterion is extended to the case of variable exponent Lebesgue spaces $L^{p(\cdot)}({\Omega})$, where $\Omega$ is a bounded open set in $\mathbb R^n$ and $p(\cdot)$ satisfies some "standard" conditions. Our final result should be called Kolmogorov-Tulajkov Sudakov compactness criterion, since it includes the case $p_-=1$ and requires only the "uniform" condition.

Affiliated with

Also associated with

No associations

Rating

Kolmogorov compactness criterion in variable exponent Lebesgue spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kolmogorov compactness criterion in variable exponent Lebesgue spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kolmogorov compactness criterion in variable exponent Lebesgue spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402176