Yiyu Liang

activity

20112020

most citedA new framework for generalized Besov-type and Triebel-Lizorkin-type spaces

11 citations · 31 across the 10 of their papers we have counts for

collaborators

10 papers

math.CA2020

Fourier dimension and avoidance of linear patterns

Yiyu Liang, Malabika Pramanik

The results in this paper are of two types. On one hand, we construct sets of large Fourier dimension that avoid nontrivial solutions of certain classes of linear equations. In par…

math.CA2015★ 6 cited

Weighted Endpoint Estimates for Commutators of Calderón-Zygmund Operators

Yiyu Liang, Luong Dang Ky, Dachun Yang

Let $δ \in (0, 1]$ and $T$ be a $δ$ -Calderón-Zygmund operator. Let $w$ be in the Muckenhoupt class $A_{1 + δ / n} (R^{n})$ satisfying $\int_{{\mathbb R}^n}\frac {w(x)}{1+|x|^n}\,dx…

math.CA2015★ 1 cited

Products of Functions in $BMO (X)$ and $H_{at}^{1} (X)$ via Wavelets over Spaces of Homogeneous Type

Xing Fu, Dachun Yang, Yiyu Liang

Let $(X, d, μ)$ be a metric measure space of homogeneous type in the sense of R. R. Coifman and G. Weiss and $H_{at}^{1} (X)$ be the atomic Hardy space. Via or…

math.CA2014★ 5 cited

Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents

Ciqiang Zhuo, Dachun Yang, Yiyu Liang

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a measurable function satisfying some decay condition and some locally log-Hölder continuity. In this article, via first establishing c…

math.CA2013★ 1 cited

Boundedness of Intrinsic Littlewood-Paley Functions on Musielak-Orlicz Morrey and Campanato Spaces

Yiyu Liang, Eiichi Nakai, Dachun Yang +1

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be such that $\vz(x,\cdot)$ is nondecreasing, $φ (x, 0) = 0$ , $φ (x, t) > 0$ when $t > 0$ , $lim_{t \to \infty} φ (x, t) = \infty$ and $\vz(\cdo…

math.CA2013★ 6 cited

Musielak-Orlicz Campanato Spaces and Applications

Yiyu Liang, Dachun Yang

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be such that $φ (x, \cdot)$ is an Orlicz function and $φ (\cdot, t)$ is a Muckenhoupt $A_{\infty} (R^{n})$ weight uniformly in $t$ …

math.CA2012★ 11 cited

A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces

Yiyu Liang, Dachun Yang, Wen Yuan +2

In this paper, the authors propose a new framework under which a theory of generalized Besov-type and Triebel-Lizorkin-type function spaces is developed. Many function spaces appea…

math.CA2012

New Real-Variable Characterizations of Musielak-Orlicz Hardy Spaces

Yiyu Liang, Jizheng Huang, Dachun Yang

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be such that $φ (x, \cdot)$ is an Orlicz function and $φ (\cdot, t)$ is a Muckenhoupt $A_{\infty} (R^{n})$ weight. The Musiela…

math.CA2011★ 1 cited

Vanishing Mean Oscillation Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Yiyu Liang, Dachun Yang, Wen Yuan

Let $(X, d, μ)$ be a metric measure space, $L$ a linear operator which has a bounded $H_{\infty}$ functional calculus and satisfies the Davies-Gaffney estimate, $Φ$ a conca…

math.FA2011

New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets

Yiyu Liang, Yoshihiro Sawano, Tino Ullrich +2

In this paper, the authors establish new characterizations of the recently introduced Besov-type spaces $B ˙_{p, q}^{s, τ} (R^{n})$ and Triebel-Lizorkin-type spaces $\dot{…