Estimates for Multilinear Commutators of Generalized Fractional Integral Operators on Weighted Morrey Spaces. (6th April 2015)
- Record Type:
- Journal Article
- Title:
- Estimates for Multilinear Commutators of Generalized Fractional Integral Operators on Weighted Morrey Spaces. (6th April 2015)
- Main Title:
- Estimates for Multilinear Commutators of Generalized Fractional Integral Operators on Weighted Morrey Spaces
- Authors:
- He, Sha
Zheng, Taotao
Tao, Xiangxing - Other Names:
- Merentes Díaz Nelson José Academic Editor.
- Abstract:
- Abstract : LetL be the infinitesimal generator of an analytic semigroup onL 2 ( R n ) with Gaussian kernel bounds, and letL - α / 2 be the fractional integrals ofL for0 < α < n . Assume thatb → = ( b 1, b 2, …, b m ) is a finite family of locally integrable functions; then the multilinear commutators generated byb → andL - α / 2 are defined byL b → - α / 2 f = [ b m, …, [ b 2, [ b 1, L - α / 2 ] ], … ] f . Assume thatb j belongs to weighted BMO space, j = 1, 2, …, m ; the authors obtain the boundedness ofL b → - α / 2 on weighted Morrey spaces. As a special case, whenL = - Δ is the Laplacian operator, the authors also obtain the boundedness of the multilinear fractional commutatorI α b → on weighted Morrey spaces. The main results in this paper are substantial improvements and extensions of some known results.
- Is Part Of:
- Journal of function spaces. Volume 2015(2015)
- Journal:
- Journal of function spaces
- Issue:
- Volume 2015(2015)
- Issue Display:
- Volume 2015, Issue 2015 (2015)
- Year:
- 2015
- Volume:
- 2015
- Issue:
- 2015
- Issue Sort Value:
- 2015-2015-2015-0000
- Page Start:
- Page End:
- Publication Date:
- 2015-04-06
- Subjects:
- Function spaces -- Periodicals
515.7305 - Journal URLs:
- https://www.hindawi.com/journals/jfs/ ↗
- DOI:
- 10.1155/2015/670649 ↗
- Languages:
- English
- ISSNs:
- 2314-8896
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10837.xml