Hardy spaces with variable exponents on RD-spaces and applications

By Ciqiang Zhuo, Yoshihiro Sawano, Dachun Yang. 2016

74 citations recorded by the source corpus.

Subfields: Applied Mathematics, Law, Political Science and International Relations

View Paper: https://www.semanticscholar.org/paper/12a3f8885bd3e3685fe3b481ae02b0fb6178bb16

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Yangyang Zhang
4. Jun Liu
5. Songbai Wang
6. Long Huang
7. Xianjie Yan
8. Ferenc Weisz

In Law

1. Wen Yuan
2. Dachun Yang

In Political Science and International Relations

1. Wen Yuan
2. Dachun Yang

Citations in the corpus

• Variable Anisotropic Hardy Spaces and Their Applications (2017, background): “[83] introduced the variable Hardy space Hp(·)(X ) on an RD-space X , with p(·) ∈ (n/(n + 1),∞), and established the real-variable theory of this space.”
• Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces (2019, background): “nitions 4.1and4.2is thesameasin[69,(3.2),(3.3)and(3.4)]. Observethat,inDefinitions4.1and4.2,wedidnot assume that ϕis radial and has compact support and hence, compared with the assumptions required in [34, 35, 43, 51, 78, 76], the assumptions here in both cases are quite weaker. (ii) In all these Lit”
• Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces (2021, background): “16 improves the corresponding results in [83] by removing the assumptions that μ satisfies the reverse doubling condition and that Hardy spaces are restricted to the same space of distributions.”
• A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type (2018, unknown): “More on analysis over Ahlfors-n regular metric measure spaces or RD-spaces can be found in [18, 22, 33, 34, 52, 32, 55, 8, 56].”
• Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “[84] developed the real-variable theory of the variable Hardy space H(X) on an RD-space X.”
• Dual spaces of anisotropic mixed-norm Hardy spaces (2018, background): “For more developments of the duality theory of function spaces and their applications in harmonic analysis and partial differential equations, we refer the reader to [2, 10, 21, 23, 25, 32, 33, 34].”