This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and p
Topics in Operator Theory || On Compactness of Operators in Variable Exponent Lebesgue Spaces
✍ Scribed by Ball, Joseph A.; Bolotnikov, Vladimir; Rodman, Leiba; Helton, J. William; Spitkovsky, Ilya M.
- Book ID
- 118043601
- Publisher
- Birkhäuser Basel
- Year
- 2010
- Weight
- 282 KB
- Category
- Article
- ISBN
- 3034601581
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract This article contains results about the boundedness of the Hardy–Littlewood maximal operator in variable exponent Lebesgue spaces. We study the situation where the exponent approaches one in some parts of the domain. We show that the boundedness depends on how fast the exponent approach
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