Boundedness of higher-order Marcinkiewicz-type integrals.
Littlewood-Paley operators on the generalized Lipschitz spaces.
Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients.
The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
We give a Littlewood-Paley function characterization of a new Hardy space HK₂ and its φ-transform characterizations in M. Frazier & B. Jawerth's sense.
Some non-homogeneous Hardy spaces on locally compact Vilenkin groups
Some new Hardy spaces on locally compact Vilenkin groups
Transference and restriction of maximal multiplier operators on Hardy spaces
The aim of this paper is to establish transference and restriction theorems for maximal operators defined by multipliers on the Hardy spaces and , 0 < p ≤ 1, which generalize the results of Kenig-Tomas for the case p > 1. We prove that under a mild regulation condition, an function m is a maximal multiplier on if and only if it is a maximal multiplier on . As an application, the restriction of maximal multipliers to lower dimensional Hardy spaces is considered.
Boundedness of commutators of an oscillatory integral operator
We obtain a necessary and sufficient condition for boundedness of commutators of certain oscillatory integral operators and Lipschitz functions.
Boundedness criterion for multilinear oscillatory integrals with rough kernels
We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.
Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator.
In this paper, we obtain some strong and weak type continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator on Hardy spaces, Hardy type spaces and weak Hardy type spaces.
Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.
In this paper, the authors introduce a kind of local Hardy spaces in R associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
On weighted weak type norm inequalities for one-sided oscillatory singular integrals
We consider one-sided weight classes of Muckenhoupt type and study the weighted weak type (1,1) norm inequalities for a class of one-sided oscillatory singular integrals with smooth kernel.
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