Abstract
We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2, where α∈(0, 2).
| Original language | English |
|---|---|
| Pages (from-to) | 175-190 |
| Number of pages | 16 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 388 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2012 Apr 1 |
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Keywords
- Fractional Laplacian
- Littlewood-Paley inequality
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2 . / Kim, Ildoo; Kim, Kyeong Hun.
In: Journal of Mathematical Analysis and Applications, Vol. 388, No. 1, 01.04.2012, p. 175-190.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2
AU - Kim, Ildoo
AU - Kim, Kyeong Hun
PY - 2012/4/1
Y1 - 2012/4/1
N2 - We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2, where α∈(0, 2).
AB - We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2, where α∈(0, 2).
KW - Fractional Laplacian
KW - Littlewood-Paley inequality
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UR - http://www.scopus.com/inward/citedby.url?scp=84455202367&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2011.11.031
DO - 10.1016/j.jmaa.2011.11.031
M3 - Article
AN - SCOPUS:84455202367
VL - 388
SP - 175
EP - 190
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -