TY - JOUR
T1 - Bwu-function Spaces and Their Interpolation
AU - Nakai, Eiichi
AU - Sobukawa, Takuya
N1 - Funding Information:
The authors were partially supported by Grant-in-Aid for Scientific Research (C), No. 24540159, and Scientific Research (B), No. 15H03621, Japan Society for the Promotion of Science. The authors would like to thank the referee for her/his careful reading and also her/his useful comments.
Publisher Copyright:
© 2016, International Academic Printing Co. Ltd. All rights reserved.
PY - 2016/12
Y1 - 2016/12
N2 - We introduce Bwu-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, Bp, CMO, local Morrey-type spaces, etc., and investigate the interpolation property of Bwu-function spaces. We also apply it to the boundedness of linear and sublinear operators, for example, the Hardy-Littlewood maximal and fractional maximal operators, singular and fractional integral operators with rough kernel, the Littlewood-Paley operator, Marcinkiewicz operator, and so on.
AB - We introduce Bwu-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, Bp, CMO, local Morrey-type spaces, etc., and investigate the interpolation property of Bwu-function spaces. We also apply it to the boundedness of linear and sublinear operators, for example, the Hardy-Littlewood maximal and fractional maximal operators, singular and fractional integral operators with rough kernel, the Littlewood-Paley operator, Marcinkiewicz operator, and so on.
KW - B-space
KW - BMO
KW - CMO
KW - Campanato space
KW - Fractional integral operator
KW - Hardy-Littlewood maximal operator
KW - Interpolation
KW - Morrey spaces
KW - Singular integral operator
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U2 - 10.3836/tjm/1459367270
DO - 10.3836/tjm/1459367270
M3 - Article
AN - SCOPUS:85014011710
SN - 0387-3870
VL - 39
SP - 483
EP - 516
JO - Tokyo Journal of Mathematics
JF - Tokyo Journal of Mathematics
IS - 2
ER -