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

Katsuo Matsuoka

Katsuo Matsuoka

Banach Center Publications, Tome 102 (2014), p. 181-188 / Harvested from The Polish Digital Mathematics Library

Résumé

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

Publié le : 2014-01-01

Zbl 1307.42016

EUDML-ID : urn:eudml:doc:281704

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc102-0-12,
     author = {Katsuo Matsuoka},
     title = {Generalized fractional integrals on central Morrey spaces and generalized $\lambda$-CMO spaces},
     journal = {Banach Center Publications},
     volume = {102},
     year = {2014},
     pages = {181-188},
     zbl = {1307.42016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc102-0-12}
}

Katsuo Matsuoka. Generalized fractional integrals on central Morrey spaces and generalized λ-CMO spaces. Banach Center Publications, Tome 102 (2014) pp. 181-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc102-0-12/