Littlewood-Paley Type Estimates for Besov Spaces on a Cube by Wavelet Coefficients
- Title
- Littlewood-Paley Type Estimates for Besov Spaces on a Cube by Wavelet Coefficients
- Author
- 김대경
- Keywords
- Besov spaces; Biorthogonal wavelets; Littlewood-Paley estimates; Wavelet decompositions
- Issue Date
- 1999-11
- Publisher
- 대한수학회
- Citation
- In: Journal of the Korean Mathematical Society. (Journal of the Korean Mathematical Society, 1999, 36(6):1075-1090)
- Abstract
- This paper deals with Littlewood-Paley type estimates of the Besov spaces {{{{ { B}`_{p,q } ^{
α
} }}}} on the d-dimensional unit cube for 0< p,q<
∞
by two certain classes. These classes are including biorthogonal wavelet systems or dual multiscale systems but not necessarily obtained as the dilates or translates of certain fixed functions. The main assumptions are local supports of both classes, sufficient smoothness for one class, and sufficiently many vanishing moments for the other class. With these estimates, we characterize the Besov spaces by coefficient norms of decompositions with respect to biorthogonal wavelet systems on the cube.
- URI
- https://www.koreascience.or.kr/article/JAKO199911919499315.kr&sa=Uhttps://repository.hanyang.ac.kr/handle/20.500.11754/171473
- ISSN
- 03049914
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML