Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces

The Anh Bui

doi:10.1016/j.jat.2019.105348

Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces

The Anh Bui

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

15 Citations (Scopus)

Abstract

Consider the Hermite operator H=−Δ+|x|² on the Euclidean space Rⁿ. The main aim of this article is to prove the boundedness of Hermite pseudo-multiplier σ(⋅,H) on some appropriate Besov and Triebel–Lizorkin spaces.

Original language	English
Article number	105348
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Approximation Theory
Volume	252
DOIs	https://doi.org/10.1016/j.jat.2019.105348
Publication status	Published - Apr 2020

Keywords

Pseudo-multiplier
Hermite expansion
Besov space
Triebel–Lizorkin space

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10.1016/j.jat.2019.105348

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title = "Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces",

abstract = "Consider the Hermite operator H=−Δ+|x|2 on the Euclidean space Rn. The main aim of this article is to prove the boundedness of Hermite pseudo-multiplier σ(⋅,H) on some appropriate Besov and Triebel–Lizorkin spaces.",

keywords = "Pseudo-multiplier, Hermite expansion, Besov space, Triebel–Lizorkin space",

author = "Bui, \{The Anh\}",

year = "2020",

month = apr,

doi = "10.1016/j.jat.2019.105348",

language = "English",

volume = "252",

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journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

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T1 - Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces

AU - Bui, The Anh

PY - 2020/4

Y1 - 2020/4

N2 - Consider the Hermite operator H=−Δ+|x|2 on the Euclidean space Rn. The main aim of this article is to prove the boundedness of Hermite pseudo-multiplier σ(⋅,H) on some appropriate Besov and Triebel–Lizorkin spaces.

AB - Consider the Hermite operator H=−Δ+|x|2 on the Euclidean space Rn. The main aim of this article is to prove the boundedness of Hermite pseudo-multiplier σ(⋅,H) on some appropriate Besov and Triebel–Lizorkin spaces.

KW - Pseudo-multiplier

KW - Hermite expansion

KW - Besov space

KW - Triebel–Lizorkin space

UR - https://www.scopus.com/pages/publications/85076697722

U2 - 10.1016/j.jat.2019.105348

DO - 10.1016/j.jat.2019.105348

M3 - Article

AN - SCOPUS:85076697722

SN - 0021-9045

VL - 252

SP - 1

EP - 16

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

M1 - 105348

ER -

Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces

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Keywords

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