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^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 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

Bibliographical note

Funding Information:
E-mail addresses: [email protected] (I. Kim), [email protected] (K.-H. Kim). 1 The research of this author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0027230).

Keywords

Fractional Laplacian
Littlewood-Paley inequality

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2011.11.031

Cite this

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

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

keywords = "Fractional Laplacian, Littlewood-Paley inequality",

author = "Ildoo Kim and Kim, \{Kyeong Hun\}",

note = "Funding Information: E-mail addresses: [email protected] (I. Kim), [email protected] (K.-H. Kim). 1 The research of this author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0027230).",

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AU - Kim, Ildoo

AU - Kim, Kyeong Hun

N1 - Funding Information: E-mail addresses: [email protected] (I. Kim), [email protected] (K.-H. Kim). 1 The research of this author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0027230).

PY - 2012/4/1

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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

UR - https://www.scopus.com/pages/publications/84455202367

U2 - 10.1016/j.jmaa.2011.11.031

DO - 10.1016/j.jmaa.2011.11.031

M3 - Article

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EP - 190

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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