On variable exponent Lebesgue spaces of entire analytic functions
✍ Scribed by Joaquín Motos; María Jesús Planells; César F. Talavera
- Book ID
- 113721633
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 240 KB
- Volume
- 388
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Our aim in this paper is to deal with integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Our exponent approaches 1 on some part of the domain, and hence the integrability depends on the shape of that part and the speed of the exponent approaching
We consider generalized potential operators with the kernel a ([ (x ,y )]) [ (x ,y )] N on bounded quasimetric measure space (X, μ, d) with doubling measure μ satisfying the upper growth condition μB(x, r) ≤ Kr N , N ∈ (0, ∞). Under some natural assumptions on a(r) in terms of almost monotonicity w