Demonstratio Mathematica (Feb 2025)

Grand Triebel-Lizorkin-Morrey spaces

  • Ho Kwok-Pun

DOI
https://doi.org/10.1515/dema-2024-0085
Journal volume & issue
Vol. 58, no. 1
pp. 126 – 166

Abstract

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This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the Lusin area function characterizations, and the gλ∗{g}_{\lambda }^{\ast } function characterizations. The boundedness of the Fourier multipliers on the grand Triebel-Lizorkin-Morrey spaces is also obtained.

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