Generalized fractional integrals on central Morrey spaces and generalized λ-CMO spaces

• Autorzy: Katsuo Matsuoka
• Języki publikacji: EN

Abstrakty

EN

We introduce the generalized fractional integrals $Ĩ_{α,d}$ and prove the strong and weak boundedness of $Ĩ_{α,d}$ on the central Morrey spaces $B^{p,λ}(ℝⁿ)$. In order to show the boundedness, the generalized λ-central mean oscillation spaces $Λ^{(d)}_{p,λ}(ℝⁿ)$ and the generalized weak λ-central mean oscillation spaces $WΛ^{(d)}_{p,λ}(ℝⁿ)$ play an important role.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 26A33: Fractional derivatives and integrals
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 102
• Numer: 1
• Strony: 181-188

Daty

wydano

2014

Twórcy

autor

Katsuo Matsuoka

• College of Economics, Nihon University, 1-3-2 Misaki-cho, Chiyoda-ku, Tokyo 101-8360, Japan

Identyfikatory

DOI

10.4064/bc102-0-12