Results 81 to 90 of about 127 (125)

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

B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spaces

Open Mathematics, 2020
In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J., Ayazoglu Rabil, Bayrakci Simten   +2 more
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Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

Advances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj   +1 more source

Weighted Estimates for Rough Oscillatory Singular Integrals [PDF]

, 1999
: Weighted L p estimates (1 < p < #) are shown for oscillatory singular integral operators with polynomial phase and a rough kernel of the form e iP (x,y) x - y)h(|x - y|)|x - y| -n . We assume that# # L log L(S n-1 ) is homogeneous
Harri Ojanen
core  

Pseudodifferential Operators With Homogeneous Symbols [PDF]

, 1999
We prove boundedness of pseudodifferential operators with symbols satisfying the conditions j@ fi ¸ @ fl x a(x; ¸)j C fi;fl j¸j m\Gammajfij+jflj on homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces 1 Introduction The study of ...
Rodolfo H. Torres, Loukas Grafakos
core  

Behaviour of an Oscillatory Singular Integral on Weighted Local Hardy Spaces [PDF]

, 2008
The boundedness on weighted local Hardy spaces h 1;p w of the oscillatory singular integral Tf(x) = Z R n e iQ(x;y) K(x; y)f(y)dy is considered when Q(x; y) = P (x \Gamma y) for some real-valued polynomial P with its degree not less than two ...
Qiyu Sun, Li-Yuan Chen
core  

Bloom-type two-weight inequalities for commutators of maximal functions

Analysis and Geometry in Metric Spaces
We study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
doaj   +1 more source

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Demonstratio Mathematica
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
doaj   +1 more source

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

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