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

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

7 Citas (Scopus)

4 Descargas (Pure)

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© 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.).

Idioma original	Inglés
Páginas (desde-hasta)	692-716
Número de páginas	25
Publicación	Journal of the London Mathematical Society
Volumen	100
N.º	2
DOI	https://doi.org/10.1112/jlms.12225
Estado	Publicada - 1 oct 2019

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

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