Fractional integral operators on $B^{p,λ}$ with Morrey-Campanato norms

• Autorzy: Katsuo Matsuoka , Eiichi Nakai
• Języki publikacji: EN

Abstrakty

EN

We introduce function spaces $B^{p,λ}$ with Morrey-Campanato norms, which unify $B^{p,λ}$, $CMO^{p,λ}$ and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator $I_{α}$ on these spaces.

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: 2011
• Tom: 92
• Numer: 1
• Strony: 249-264

Daty

wydano

2011

Twórcy

autor

Katsuo Matsuoka

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

autor

Eiichi Nakai

• Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan

Identyfikatory

DOI

10.4064/bc92-0-17