Results 11 to 20 of about 1,622 (105)

A note on weighted bounds for rough singular integrals [PDF]

, 2017
We show that the $L^2(w)$ operator norm of the composition $M\!\circ T_{\Omega}$, where $M$ is the maximal operator and $T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L^{\infty}(S^{n-1})$, depends quadratically on $[w ...
Lerner, Andrei K.
core   +3 more sources

Some estimates for the commutators of multilinear maximal function on Morrey-type space

Open Mathematics, 2021
In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
doaj   +1 more source

Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces

Analysis and Geometry in Metric Spaces, 2023
The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
doaj   +1 more source

Fractional integral operators on Herz spaces for supercritical indices

Journal of Function Spaces, Volume 9, Issue 2, Page 179-190, 2011., 2011
We consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q ≥ n/β. We introduce a new function space that is a variant of Lipschitz space. Our results are optimal.
Yasuo Komori-Furuya, Hans Triebel
wiley   +1 more source

Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

Advances in Nonlinear Analysis, 2014
We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth.
Erhardt André
doaj   +1 more source

The dimension-free estimate for the truncated maximal operator

Open Mathematics, 2022
We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
doaj   +1 more source

A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderon-Zygmund decomposition [PDF]

, 2000
Given a doubling measure $\mu$ on $R^d$, it is a classical result of harmonic analysis that Calderon-Zygmund operators which are bounded in $L^2(\mu)$ are also of weak type (1,1).
Tolsa, Xavier
core   +3 more sources

Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces

Journal of Function Spaces, Volume 8, Issue 1, Page 1-16, 2010., 2010
In this article, we consider the Marcinkiewicz integrals with variable kernels defined by μΩ(f)(x)=(∫0∞|∫|x−y|≤tΩ(x,x−y)|x−y|n−1f(y)dy|2dtt3)12/, where Ω(x,z)∈L∞(ℝn)×Lq(Sn−1) for q > 1. We prove that the operator μΩ is bounded from Hardy space, Hp(ℝn), to Lp(ℝn) space; and is bounded from weak Hardy space, Hp,∞(ℝn), to weak Lp(ℝn) space for max{2n21n ...
Xiangxing Tao, Xiao Yu, Songyan Zhang, Maria Carro   +3 more
wiley   +1 more source

Some estimates for commutators of bilinear pseudo-differential operators

Open Mathematics, 2022
We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
doaj   +1 more source