On interpolation properties of compact bilinear operators

2017 ◽  
Vol 290 (11-12) ◽  
pp. 1663-1677 ◽  
Author(s):  
Luz M. Fernández-Cabrera ◽  
Antón Martínez
2017 ◽  
Vol 24 (5) ◽  
pp. 1181-1203 ◽  
Author(s):  
Luz M. Fernández-Cabrera ◽  
Antón Martínez

2013 ◽  
Vol 141 (10) ◽  
pp. 3609-3621 ◽  
Author(s):  
Árpád Bényi ◽  
Rodolfo H. Torres

2018 ◽  
Vol 291 (14-15) ◽  
pp. 2168-2187 ◽  
Author(s):  
Fernando Cobos ◽  
Luz M. Fernández-Cabrera ◽  
Antón Martínez

2020 ◽  
Vol 10 (02) ◽  
pp. 2050002
Author(s):  
Mieczysław Mastyło ◽  
Eduardo B. Silva

This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces. We prove one-sided compactness results for bilinear operators on products of Banach spaces generated by abstract methods of interpolation, in the sense of Aronszajn and Gagliardo. To get these results, we prove a key one-sided bilinear interpolation theorem on compactness for bilinear operators on couples satisfying an extra approximation property. We give applications to general cases, including Peetre’s method and the general real interpolation methods.


2010 ◽  
Vol 81 (3) ◽  
Author(s):  
J. Noaki ◽  
T. W. Chiu ◽  
H. Fukaya ◽  
S. Hashimoto ◽  
H. Matsufuru ◽  
...  

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Hua Zhu ◽  
Heping Liu

We study the boundedness of weighted multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We also investigate weighted estimates for bilinear operators related to Schrödinger operator.


2010 ◽  
Author(s):  
Jongjeong Kim ◽  
Weonjong Lee ◽  
Stephen R. Sharpe
Keyword(s):  

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