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

7 Citations (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

Access to Document

10.1016/j.jat.2020.105534

Cite this

@article{cfe0cdadb01c486791752a6e3a196315,

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.",

}

TY - JOUR

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

SN - 0021-9045

VL - 264

SP - 1

EP - 25

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

M1 - 105534

ER -

Weighted embeddings for function spaces associated with Hermite expansions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Harmonic analysis and dispersive partial differential equations

Cite this

Weighted embeddings for function spaces associated with Hermite expansions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Harmonic analysis and dispersive partial differential equations

Cite this