Mathematical Journal of Okayama University volume61 issue1
2019-01 発行
Hakim, Denny Ivanal
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
Nogayama, Toru
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
Sawano, Yoshihiro
Department of Mathematics and Information Sciences, Tokyo Metropolitan University
This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] 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 [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ∈ 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.
smoothness Morrey spaces
Triebel-Lizorkin-Morrey spaces
complex interpolation
square function
Mathematics Subject Classification. Primary 42B35; Secondary 41A17, 26B33.