Weighted embeddings for function spaces associated with Hermite expansions

The Anh Bui; Ji Li; Fu Ken Ly

doi:10.1016/j.jat.2020.105534

Weighted embeddings for function spaces associated with Hermite expansions

The Anh Bui, Ji Li, Fu Ken Ly^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We study weighted Besov and Triebel–Lizorkin spaces associated with Hermite expansions and obtain (i) frame decompositions, and (ii) characterizations of continuous Sobolev-type embeddings. The weights we consider generalize the Muckenhoupt weights.

Original language	English
Article number	105534
Pages (from-to)	1-25
Number of pages	25
Journal	Journal of Approximation Theory
Volume	264
DOIs	https://doi.org/10.1016/j.jat.2020.105534
Publication status	Published - Apr 2021

Keywords

Embedding
Hermite expansions
Frames
Weights

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10.1016/j.jat.2020.105534

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title = "Weighted embeddings for function spaces associated with Hermite expansions",

abstract = "We study weighted Besov and Triebel–Lizorkin spaces associated with Hermite expansions and obtain (i) frame decompositions, and (ii) characterizations of continuous Sobolev-type embeddings. The weights we consider generalize the Muckenhoupt weights.",

keywords = "Embedding, Hermite expansions, Frames, Weights",

author = "Bui, {The Anh} and Ji Li and Ly, {Fu Ken}",

year = "2021",

month = apr,

doi = "10.1016/j.jat.2020.105534",

language = "English",

volume = "264",

pages = "1--25",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

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T1 - Weighted embeddings for function spaces associated with Hermite expansions

AU - Bui, The Anh

AU - Li, Ji

AU - Ly, Fu Ken

PY - 2021/4

Y1 - 2021/4

N2 - We study weighted Besov and Triebel–Lizorkin spaces associated with Hermite expansions and obtain (i) frame decompositions, and (ii) characterizations of continuous Sobolev-type embeddings. The weights we consider generalize the Muckenhoupt weights.

AB - We study weighted Besov and Triebel–Lizorkin spaces associated with Hermite expansions and obtain (i) frame decompositions, and (ii) characterizations of continuous Sobolev-type embeddings. The weights we consider generalize the Muckenhoupt weights.

KW - Embedding

KW - Hermite expansions

KW - Frames

KW - Weights

UR - http://www.scopus.com/inward/record.url?scp=85100090945&partnerID=8YFLogxK

UR - http://purl.org/au-research/grants/arc/DP170101060

U2 - 10.1016/j.jat.2020.105534

DO - 10.1016/j.jat.2020.105534

M3 - Article

AN - SCOPUS:85100090945

VL - 264

SP - 1

EP - 25

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

M1 - 105534

ER -

Weighted embeddings for function spaces associated with Hermite expansions

Abstract

Keywords

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Harmonic analysis and dispersive partial differential equations

Cite this

Weighted embeddings for function spaces associated with Hermite expansions

Abstract

Keywords

Access to Document

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Fingerprint

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Harmonic analysis and dispersive partial differential equations

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