NEW WEIGHTED INTEGRAL INEQUALITIES FOR DIFFERENTIAL FORMS IN SOME DOMAINS (2009)
We first prove local weighted integral inequalities for differential forms. Then, as applications of our local results, we prove global weighted integral inequalities for differential forms in Ls...
Norm Comparison Inequalities for the Composite Operator (2009)
We establish norm comparison inequalities with the Lipschitz norm and the BMO norm for the composition of the homotopy operator and the projection operator applied to differential forms satisfying...
Weighted Poincare Inequalities for Solutions to A-Harmonic Equations (2007)
We rst prove a local A r -weighted Poincare inequalities for solutions to A-harmonic equations of the form: d A(x; d!) = B(x; d!). Then, as an application of the local result, we prove a global A r...
Global integrability of the Jacobian of a composite mapping (2006)
We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a...
Global integrability of the Jacobian of a composite mapping (2006)
We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a...
Whitney covers and quasi-isometry of Ls(μ)-averaging domains (2001)
This is a part of our series studies about the Ls(μ)-averaging domains. In this paper, we first characterize Ls(μ)-averaging domains using the Whitney covers. Then we prove the invariance of...
L s (µ)-Averaging Domains (1999)
. In this paper we rst introduce L s ()-averaging domains which are generalizations of L s -averaging domains introduced by Susan G. Staples. We characterize L s ()-averaging domains using the...
On radii of starlikeness and convexity for convolutions of starlike functions (1997)
In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
On radii of starlikeness and convexity for convolutions of starlike functions (1997)
In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
A new criterion for starlike functions (1996)
In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
A new criterion for starlike functions (1996)
In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].