Supported by the Research Council of Finland(Grant Nos.346314 and 364208)。
The dyadic representation of any singular integral operator,as an average of dyadic model operators,has found many applications.While for many purposes it is enough to have such a representation for a“suitable class...
The growth of multicellular organisms is directly related to cell proliferation through the cell cycle, in which a single cell grows and divides to produce two daughter cells. This process leads to an exponential incr...
supported by National Natural Science Foundation of China (Grant No. 12171223);the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515010396)。
Let n≥2 be an integer. We give necessary and sufficient conditions for an integral quadratic form over dyadic local fields to be n-universal by using invariants from Beli's theory of bases of norm generators.Also, we...
supported by the Natural Science Foundation of China under Grant Nos.71661001 and 71971190;the project of Yunnan Key Laboratory of Smart City and Cyberspace Security under Grant No.202105AG070010。
Micro triadic structure is an important motif and serves the building block of complex networks.In this paper,the authors define structure entropy for a social network and explain this concept by using the coded triad...
Homogeneous binary function products are frequently encountered in the sub-universes modeled by databases,spanning from genealogical trees and sports to education and healthcare,etc.Their properties must be discovered...
supported by the MINCYT in Argentina:CONICET and ANPCyT,UNL and UNComa。
In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces,can be applied to obtain Sobolev type regularity properties for s...
Supported by Consejo Nacional de Investigaciones Científicas y Técnicas,Universidad Nacional del Litoral and Universidad Nacional del Comahue,Argentina
In this paper we explore conditions on variable symbols with respect to Haar systems,defining Calderón–Zygmund type operators with respect to the dyadic metrics associated to the Haar bases. We show that Petermichl...
partially supported by the National Natural Science Foundation of China(12122102 and 11871100);the National Key Research and Development Program of China(2020YFA0712900)。
To shed some light on the John-Nirenberg space,the authors of this article introduce the John-Nirenberg-Q space via congruent cubes,JNQp,qα(Rn),which,when p=∞and q=2,coincides with the space Qα(Rn)introduced by Ess...
We propose a surreal spin theory. Our basic mathematical tools are the dyadic rational number which is one of the key mathematical notions in surreal number theory. We argue that from the perspective of such surreal n...