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

Banach Center Publications (2014)

- Volume: 102, Issue: 1, page 181-188
- ISSN: 0137-6934

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topKatsuo Matsuoka. "Generalized fractional integrals on central Morrey spaces and generalized λ-CMO spaces." Banach Center Publications 102.1 (2014): 181-188. <http://eudml.org/doc/281704>.

@article{KatsuoMatsuoka2014,

abstract = {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.},

author = {Katsuo Matsuoka},

journal = {Banach Center Publications},

keywords = {generalized fractional integrals; central Morrey spaces; generalized -CMO spaces},

language = {eng},

number = {1},

pages = {181-188},

title = {Generalized fractional integrals on central Morrey spaces and generalized λ-CMO spaces},

url = {http://eudml.org/doc/281704},

volume = {102},

year = {2014},

}

TY - JOUR

AU - Katsuo Matsuoka

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

JO - Banach Center Publications

PY - 2014

VL - 102

IS - 1

SP - 181

EP - 188

AB - 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.

LA - eng

KW - generalized fractional integrals; central Morrey spaces; generalized -CMO spaces

UR - http://eudml.org/doc/281704

ER -

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