scholarly journals The globally hyperbolic metric splitting for non-smooth wave-type space-times

2014 ◽  
Vol 420 (1) ◽  
pp. 348-363 ◽  
Author(s):  
Günther Hörmann ◽  
Clemens Sämann
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.


QJM ◽  
2021 ◽  
Author(s):  
T -Y Liu ◽  
M -T Tsai ◽  
C-Y Cheng
Keyword(s):  
Type B ◽  

2013 ◽  
Vol 99 (5) ◽  
pp. 544-576 ◽  
Author(s):  
Fatiha Alabau-Boussouira ◽  
Matthieu Léautaud
Keyword(s):  

2016 ◽  
Vol 24 (1) ◽  
pp. 167-175
Author(s):  
Toshiyuki Sugawa
Keyword(s):  

1960 ◽  
Vol 38 (1) ◽  
pp. 78-99 ◽  
Author(s):  
A. Ishimaru ◽  
G. Held

Part I considers the problem of determining the source distribution over a circular aperture required to produce a prescribed radiation pattern. In particular, the problem of optimizing the narrow broadside pattern from a circular aperture is discussed in detail and an improved design method over Taylor's for line source is devised. Numerical examples are given.Part II deals with the analysis of the radiation pattern from a circular aperture from γ1 to γ2 with the traveling wave type source functions. Expressions suitable to the analysis and the synthesis are obtained and the narrow-beam and shaped-beam synthesis are discussed.


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