Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first-order differences

Martí Prats

doi:10.1112/jlms.12225

Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first-order differences

Martí Prats

Department of Mathematics

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

7 Citations (Scopus)

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Abstract

© 2019 London Mathematical Society In this note, we give equivalent characterizations for a fractional Triebel–Lizorkin space (Formula presented.) in terms of first-order differences in a uniform domain (Formula presented.). The characterization is valid for any positive, non-integer real smoothness (Formula presented.) and indices (Formula presented.), (Formula presented.) as long as the fractional part (Formula presented.) is greater than (Formula presented.).

Original language	English
Pages (from-to)	692-716
Number of pages	25
Journal	Journal of the London Mathematical Society
Volume	100
Issue number	2
DOIs	https://doi.org/10.1112/jlms.12225
Publication status	Published - 1 Oct 2019

Keywords

42B35
46E35 (primary)

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10.1112/jlms.12225

https://ddd.uab.cat/record/288632

Cite this

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title = "Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first-order differences",

abstract = "{\textcopyright} 2019 London Mathematical Society In this note, we give equivalent characterizations for a fractional Triebel–Lizorkin space (Formula presented.) in terms of first-order differences in a uniform domain (Formula presented.). The characterization is valid for any positive, non-integer real smoothness (Formula presented.) and indices (Formula presented.), (Formula presented.) as long as the fractional part (Formula presented.) is greater than (Formula presented.).",

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N2 - © 2019 London Mathematical Society In this note, we give equivalent characterizations for a fractional Triebel–Lizorkin space (Formula presented.) in terms of first-order differences in a uniform domain (Formula presented.). The characterization is valid for any positive, non-integer real smoothness (Formula presented.) and indices (Formula presented.), (Formula presented.) as long as the fractional part (Formula presented.) is greater than (Formula presented.).

AB - © 2019 London Mathematical Society In this note, we give equivalent characterizations for a fractional Triebel–Lizorkin space (Formula presented.) in terms of first-order differences in a uniform domain (Formula presented.). The characterization is valid for any positive, non-integer real smoothness (Formula presented.) and indices (Formula presented.), (Formula presented.) as long as the fractional part (Formula presented.) is greater than (Formula presented.).

KW - 42B35

KW - 46E35 (primary)

UR - http://www.mendeley.com/research/measuring-triebellizorkin-fractional-smoothness-domains-terms-firstorder-differences

UR - https://www.scopus.com/pages/publications/85066157478

U2 - 10.1112/jlms.12225

DO - 10.1112/jlms.12225

M3 - Article

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JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 2

ER -

Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first-order differences

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Keywords

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