Multipliers for Besov spaces on graded Lie groups

Duván Cardona; Michael Ruzhansky

doi:10.1016/j.crma.2017.02.015

Multipliers for Besov spaces on graded Lie groups

Duván Cardona
, Michael Ruzhansky

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

17 Scopus citations

Abstract

In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood–Paley theorem that play a role in this analysis and are also of interest on their own.

Original language	English
Pages (from-to)	400-405
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	355
Issue number	4
DOIs	https://doi.org/10.1016/j.crma.2017.02.015
State	Published - Apr 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Académie des sciences

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2017.02.015

Cite this

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title = "Multipliers for Besov spaces on graded Lie groups",

abstract = "In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood{\textendash}Paley theorem that play a role in this analysis and are also of interest on their own.",

author = "Duv{\'a}n Cardona and Michael Ruzhansky",

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year = "2017",

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doi = "10.1016/j.crma.2017.02.015",

language = "English",

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AU - Ruzhansky, Michael

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AB - In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood–Paley theorem that play a role in this analysis and are also of interest on their own.

UR - https://www.scopus.com/pages/publications/85014743987

U2 - 10.1016/j.crma.2017.02.015

DO - 10.1016/j.crma.2017.02.015

M3 - Article

AN - SCOPUS:85014743987

SN - 1631-073X

VL - 355

SP - 400

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

Multipliers for Besov spaces on graded Lie groups

Abstract

Bibliographical note

ASJC Scopus subject areas

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Cite this