Extension of Variable Triebel–Lizorkin-Type Space on Domains

Author(s):  
Qi Sun ◽  
Ciqiang Zhuo
Keyword(s):  
2021 ◽  
Vol 9 (1) ◽  
pp. 1-12
Author(s):  
Sehie Park

Abstract A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they can be improved according to our abstract convex space theory. Most of these works are chosen on the basis that they can be improved by following our theory. Actually, we introduce abstracts of each work or some contents, and add some comments showing how to improve them.


2021 ◽  
Vol 19 (1) ◽  
pp. 515-530
Author(s):  
Xiao Yu ◽  
Pu Zhang ◽  
Hongliang Li

Abstract In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space. Moreover, the endpoint estimate for such operators on generalized Morrey spaces is also given.


Author(s):  
Yong Jiao ◽  
Dan Zeng ◽  
Dejian Zhou

We investigate various variable martingale Hardy spaces corresponding to variable Lebesgue spaces $\mathcal {L}_{p(\cdot )}$ defined by rearrangement functions. In particular, we show that the dual of martingale variable Hardy space $\mathcal {H}_{p(\cdot )}^{s}$ with $0<p_{-}\leq p_{+}\leq 1$ can be described as a BMO-type space and establish martingale inequalities among these martingale Hardy spaces. Furthermore, we give an application of martingale inequalities in stochastic integral with Brownian motion.


1992 ◽  
Vol 33 (6) ◽  
pp. 2258-2261 ◽  
Author(s):  
A. Melfo ◽  
L. Nún̄ez ◽  
U. Percoco ◽  
V. M. Villalba
Keyword(s):  

1987 ◽  
Vol 24 (5) ◽  
pp. 469-473 ◽  
Author(s):  
Choon-Foo Shih

AIAA Journal ◽  
1990 ◽  
Vol 28 (7) ◽  
pp. 1250-1258 ◽  
Author(s):  
Y. Yong ◽  
Y. K. Lin
Keyword(s):  

2006 ◽  
Vol 4 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Hasi Wulan ◽  
Jizhen Zhou

For a nondecreasing functionK:[0,8)?[0,8)and0<p<8,-2<q<8, we introduceQK(p,q), aQKtype space of functions analytic in the unit disk and study the characterizations ofQK(p,q). Necessary and sufficient conditions onKsuch thatQK(p,q)become some known spaces are given.


2005 ◽  
Vol 26 (1) ◽  
pp. 129-139 ◽  
Author(s):  
Mikl�s Pint�r

2012 ◽  
Vol 50 (11) ◽  
pp. 1462-1472 ◽  
Author(s):  
Jian Huang ◽  
Weidong Hu ◽  
Mounir Ghogho ◽  
Qin Xin ◽  
Xiaoyong Du ◽  
...  

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