TY - JOUR
T1 - Bilinear estimates on Morrey spaces by using average
AU - Hatano, N.
N1 - Funding Information:
The author would like to be thankful to his advisor Professor Kotaro Tsugawa for his guidance and advise, and be grateful to Professor Yoshihiro Sawano, in Tokyo Metropolitan University, for his many kinds of ideas and answering many questions. In particular, Sawano gave him a hint to Theorem 2.2.
Publisher Copyright:
© 2020, Akadémiai Kiadó, Budapest.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - This paper is a follow up of a recent work of the author and Y. Sawano [6], in 2019. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in [3], 1992. When the local integrability index s falls 1 with weights and t exceeds 1, He and Yan obtained some results on this operator was worked on Morrey spaces earlier in [7] 2018. Later in the paper [6] we considered the case t = 1. This paper handles the remaining case 0 < t < 1.
AB - This paper is a follow up of a recent work of the author and Y. Sawano [6], in 2019. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in [3], 1992. When the local integrability index s falls 1 with weights and t exceeds 1, He and Yan obtained some results on this operator was worked on Morrey spaces earlier in [7] 2018. Later in the paper [6] we considered the case t = 1. This paper handles the remaining case 0 < t < 1.
KW - Morrey space
KW - average technique
KW - bilinear fractional integral operator
KW - dyadic cube
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U2 - 10.1007/s10476-020-0031-0
DO - 10.1007/s10476-020-0031-0
M3 - Article
AN - SCOPUS:85085011431
VL - 46
SP - 283
EP - 291
JO - Analysis Mathematica
JF - Analysis Mathematica
SN - 0133-3852
IS - 2
ER -