A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2

Ildoo Kim; Kyeong Hun Kim

doi:10.1016/j.jmaa.2011.11.031

A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-δ)^α/2

Ildoo Kim, Kyeong Hun Kim

Research output: Contribution to journal › Article

10 Citations (Scopus)

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	https://doi.org/10.1016/j.jmaa.2011.11.031
Publication status	Published - 2012 Apr 1

Keywords

Fractional Laplacian
Littlewood-Paley inequality

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2011.11.031

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Kim, I., & Kim, K. H. (2012). A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-δ)^α/2. Journal of Mathematical Analysis and Applications, 388(1), 175-190. https://doi.org/10.1016/j.jmaa.2011.11.031

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abstract = "We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian (-δ)α/2, where α∈(0, 2).",

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AU - Kim, Kyeong Hun

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