Journal article
Weighted Lp-type estimates for a class of generalized Calderón-Zygmund type singular integrals
Journal of pseudo-differential operators and applications, Vol.17(1), 16
03/01/2026
DOI: 10.1007/s11868-026-00768-0
Abstract
In this paper we shall investigate the weighted L-p-type estimates for a class of generalized Calder & oacute;n-Zygmund type singular integrals T(epsilon,beta )f (x) = integral({|x - y|>epsilon} )Omega(x - y)/|x - y|(n - beta )f (y)dy for epsilon > 0 and beta is an element of (0, n). We should remark that the existence of the constant beta in these singular integrals is the key difference from traditional Calder & oacute;n-Zygmund type singular integral operators, which also renders the problems more challenging. In fact, this class of singular integrals arises from the approximation of the surface quasi-geostrophic (SQG) equation, which describes geophysical flows in the atmosphere and ocean.
Details
- Title: Subtitle
- Weighted Lp-type estimates for a class of generalized Calderón-Zygmund type singular integrals
- Creators
- Lihe Wang - University of IowaFengping Yao - Shanghai University
- Resource Type
- Journal article
- Publication Details
- Journal of pseudo-differential operators and applications, Vol.17(1), 16
- DOI
- 10.1007/s11868-026-00768-0
- ISSN
- 1662-9981
- eISSN
- 1662-999X
- Publisher
- Springer Nature
- Number of pages
- 24
- Language
- English
- Date published
- 03/01/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985139312802771
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