Interpolation of Morrey-Campanato and related smoothness spaces

W Yuan, W Sickel, DC Yang - Science China Mathematics, 2015 - Springer
We study the interpolation of Morrey-Campanato spaces and some smoothness spaces
based on Morrey spaces, eg, Besov-type and Triebel-Lizorkin-type spaces. Various …

Generalized fractional integrals and their commutators over non-homogeneous metric measure spaces

X Fu, D Yang, W Yuan - 2014 - projecteuclid.org
Abstract Let (\mathcalX,d,μ) be a metric measure space satisfying both the upper doubling
and the geometrically doubling conditions. In this paper, the authors establish some …

[BOOK][B] The Hardy space H1 with non-doubling measures and their applications

D Yang, D Yang, G Hu - 2013 - Springer
In many problems from analysis, the Hardy space, H1. RD/, always appears as a suitable
substitution for L1. RD/. Thanks to the seminal papers of Charles Fefferman and Elias M …

Anisotropic Hardy-Lorentz spaces and their applications

J Liu, DC Yang, W Yuan - Science China Mathematics, 2016 - Springer
Abstract Let p∈(0, 1, q∈(0,∞ and A be a general expansive matrix on ℝ n. We introduce the
anisotropic Hardy-Lorentz space HA p, q (ℝ n) associated with A via the non-tangential …

Hardy spaces Hp over non-homogeneous metric measure spaces and their applications

X Fu, H Lin, D Yang, D Yang - Science China Mathematics, 2015 - Springer
Abstract Let (X, d, μ) be a metric measure space satisfying both the geometrically doubling
and the upper doubling conditions. Let ρ∈(1,∞), 0< p⩽ 1⩽ q⩽∞, p≠ q, γ∈ 1,∞) and …

Boundedness of certain commutators over non-homogeneous metric measure spaces

H Lin, S Wu, D Yang - Analysis and Mathematical Physics, 2017 - Springer
Abstract Let (X, d, μ)(X, d, μ) be a metric measure space satisfying the so-called upper
doubling condition and the geometrically doubling condition. Let T be a Calderón-Zygmund …

Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces

MH Yang, ZW Fu, JY Sun - Science China Mathematics, 2017 - Springer
We study the Cauchy problem of a two-species chemotactic model. Using the Fourier
frequency localization and the Bony paraproduct decomposition, we establish a unique local …

Anisotropic Hardy spaces associated with ball quasi-Banach function spaces and their applications

Z Wang, X Yan, D Yang - Kyoto J. Math.(to appear), 2024 - projecteuclid.org
Let A be a general expansive matrix and X a ball quasi-Banach function space on Rn, which
supports both a Fefferman–Stein vector-valued maximal inequality and the boundedness of …

Boundedness for Commutators of Bilinear θ‐Type Calderón‐Zygmund Operators on Nonhomogeneous Metric Measure Spaces

R **e, L Shu, A Sun - Journal of Function Spaces, 2017 - Wiley Online Library
Boundedness for Commutators of Bilinear θ‐Type Calderón‐Zygmund Operators on
Nonhomogeneous Metric Measure Spaces - **e - 2017 - Journal of Function Spaces - Wiley Online …

Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces

Y Zhao, H Lin, Y Meng - Science China Mathematics, 2021 - Springer
Let (\cal XX, d, μ) be a non-homogeneous metric measure space satisfying the so-called
upper doubling and geometrically doubling conditions, which includes the space of …