Results 21 to 30 of about 1,623 (101)
Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions [PDF]
, 2011 For commutators of the form [b,T] where T is any Calderon--Zygmund operator and b is any BMO function we derive weighted quadratic type estimates in term of the A1 constant of the weight both in the Lp context or of LlogL type at the endpointComment: to ...
Ortiz-Caraballo, Carmen
core +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S. +2 more
doaj +1 more source
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
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
Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian [PDF]
, 2014 In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-
Filippas, Stathis +2 more
core +2 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 +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