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

Martí Prats

    Research output: Contribution to journalArticleResearch

    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 languageEnglish
    Pages (from-to)692-716
    JournalJournal of the London Mathematical Society
    Volume100
    DOIs
    Publication statusPublished - 1 Oct 2019

    Keywords

    • 42B35
    • 46E35 (primary)

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