Results 101 to 110 of about 1,893 (145)

Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

Demonstratio Mathematica, 2020
In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
doaj   +1 more source

Estimates for operators on weighted Morrey spaces and their applications to nondivergence elliptic equations

, 2013
In this paper, we study the norm inequalities for sublinear operators and their commutators on weighted Morrey spaces. As application, the regularity in the weighted Morrey spaces of strong solutions to nondivergence elliptic equations with VMO ...
S. Shi, Zunwei Fu, Fayou Zhao
semanticscholar   +1 more source

Inequality estimates for the boundedness of multilinear singular and fractional integral operators

, 2013
In this paper, the inequality of boundedness for the multilinear fractional singular integral operators associated to the weighted Lipschitz functions is estimated.
Xiaosha Zhou, Chuangxia Huang, Haijun Hu, Li Liu   +3 more
semanticscholar   +1 more source

Matrix weights and a maximal function with exponent 3/2

Advanced Nonlinear Studies
We build an example of a simple sparse operator for which its norm with scalar A 2 weight has linear estimate in [w]A2 ${\left[w\right]}_{{A}_{2}}$ , but whose norm in matrix setting grows at least as [W]A23/2 ${\left[W\right]}_{{\mathbf{A}}_{2}}^{3/2}$
Treil Sergei, Volberg Alexander
doaj   +1 more source

Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

Open Mathematics, 2016
In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels TΩ,αA1,A2,…,Ak,$T_{\Omega ,\alpha }^{{A_1},{A_2}, \ldots ,{A_k}},$ which is a generalization of the higher-order commutator of the rough fractional ...
Akbulut Ali, Hasanov Amil
doaj   +1 more source

Φ-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces

, 2014
We study the boundedness of Φ-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMΦ,φ(Rn) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as
V. Guliyev, F. Deringoz, J. Hasanov
semanticscholar   +1 more source

Fractional type Marcinkiewicz integral operators associated to surfaces

Journal of Inequalities and Applications, 2013
In this paper, we discuss the boundedness of the fractional type Marcinkiewicz integral operators associated to surfaces, and we extend a result given by Chen et al. (J. Math. Anal. Appl. 276:691-708, 2002).
Y. Sawano, K. Yabuta
semanticscholar   +1 more source

OSCILLATORY INTEGRAL OPERATORS AND THEIR COMMUTATORS IN MODIFIED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT

International Journal of Apllied Mathematics, 2019
In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified weighted Morrey spaces with variable exponent L̃ p(·),λ ω (Ω), where Ω ⊂ R are unbounded sets. After that we
J. Hasanov, A. Musayev
semanticscholar   +1 more source

Solitons in gauge theories: Existence and dependence on the charge

Advances in Nonlinear Analysis, 2014
In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
doaj   +1 more source

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source