Criteria for the Boundedness and Compactness of Operators with Power-Logarithmic Kernels
β Scribed by V. Kokilashvili; A. Meskhi
- Book ID
- 110328122
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 174 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0133-3852
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π SIMILAR VOLUMES
## Abstract We consider a class of multidimensional potentialβtype operators with kernels that have singularities at the origin and on the unit sphere and that are oscillating at infinity. We describe some convex sets in the (1/__p,__ 1/__q__)βplane for which these operators are bounded from __L~p~
## Abstract In this paper, __L^p^__ bounds for the __m__βth order commutators of the parabolic LittlewoodβPaley operator are obtained, provided that the kernel Ξ© belongs to __L__(log^+^__L__)^__m__ + 1/2^(__S__^__n__ β 1^) or \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{emp