2017/05/02 by Denny Ivanal Hakim, Hakim, D. I., Toru Nogayama +3
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.1705.00796
openalex publication_date 2017/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper extends the result in \citeHNS15 to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p,q,r,s. This paper reinforces our earlier paper \citeHNS15 by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In \citeHNS15 we assumed s=0 and r=2. Here we relax the conditions on s and r to s ∈ \mathbb R and 1 < r ≤ ∞. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces.