Fractional integral operators on B p , λ with Morrey-Campanato norms

Katsuo Matsuoka; Eiichi Nakai

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 249-264
  • ISSN: 0137-6934

Abstract

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We introduce function spaces B p , λ with Morrey-Campanato norms, which unify B p , λ , C M O p , λ and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator I α on these spaces.

How to cite

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Katsuo Matsuoka, and Eiichi Nakai. "Fractional integral operators on $B^{p,λ}$ with Morrey-Campanato norms." Banach Center Publications 92.1 (2011): 249-264. <http://eudml.org/doc/281808>.

@article{KatsuoMatsuoka2011,
abstract = {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.},
author = {Katsuo Matsuoka, Eiichi Nakai},
journal = {Banach Center Publications},
keywords = {fractional integral; -space; BMO; CMO; Morrey space; Campanato space},
language = {eng},
number = {1},
pages = {249-264},
title = {Fractional integral operators on $B^\{p,λ\}$ with Morrey-Campanato norms},
url = {http://eudml.org/doc/281808},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Katsuo Matsuoka
AU - Eiichi Nakai
TI - Fractional integral operators on $B^{p,λ}$ with Morrey-Campanato norms
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 249
EP - 264
AB - 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.
LA - eng
KW - fractional integral; -space; BMO; CMO; Morrey space; Campanato space
UR - http://eudml.org/doc/281808
ER -

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