arXiv subjects

Huixia Mo

Publications and source records attributed to Huixia Mo.

6 recordsLinked to original sources

arXiv2018

$p$-adic singular integral and their commutator in generalized Morrey space

For a prime number $p,$ let $\mathbb{Q}_p$ be the field of $p$-adic numbers. In this paper, we established the boundedness of a class of $p$-adic singular integral operators on the $p$-adic generalized Morrey spaces. The corresponding boundedness for the commutators generalized by the $p$-adic singular integral operators and $p$-adic Lipschitz functions or $p$-adic generalized Campanato functions is also considered.

math.FA↗

arXiv2015

Boundedness of commutators generated by m-th Calderón-Zygmund type singular integrals and local Campanato functions on generalized local Morrey spaces

Let $T_m$ be the $m$-th Calderón-Zygmund type singular integral. In the paper, we consider the boundedness of $T_m$ on the generalized product local Morrey spaces $LM_{p_1,φ_1}^{\{x_0\}}\times LM_{p_2,φ_2}^{\{x_0\}}\times\dots\times LM_{p_m,φ_m}^{\{x_0\}}.$ And, the boundedness of the commutators of $T_m$ with local Campanato functions is obtained, also.

math.FA↗

arXiv2015

Hermite-hadamard type inequalities for generalized $s$-convex functions on real linear fractal set $\mathbb{R}^α(0<α<1)$

In the paper, we establish the Hermite-Hadamard type inequalities for the generalized s-convex functions in the second sense on real linear fractal set $\mathbb{R}^α(0<α<1).$

math.CA↗

arXiv2014

Generalized Hermite-Hadamard Type Inequalities Involving Local Fractional Integrals

In the paper, two new identities involving the local fractional integrals have been established. Using these two identities, we obtain some generalized Hermite-Hadamard type integral inequalities for the local differentiable generalized convex functions.

math.CA↗

arXiv2014

Generalized Convex Functions and Some Inequalities on Fractal Sets

In the paper, we introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen inequality and generalized Hermite-Hadamard inequality. Furthermore,some applications are given.

math.CA↗

arXiv2014

Generalized s-convex function on fractal sets

We introduce two kinds of generalized $s$-convex functions on real linear fractal sets $\mathbb{R}^α(0<α<1)$. And similar to the class situation, we also study the properties of these two kinds of generalized $s$-convex functions and discuss the relationship between them. Furthermore, some applications are given.

math.AP↗