Results 61 to 70 of about 2,482 (145)

Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part

open access: yesAdvances in Nonlinear Analysis, 2022
Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
doaj   +1 more source

Embeddings of α-Modulation Spaces [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 42B35, 46E35.We show upper and lower embeddings of α1-modulation spaces in α2-modulation spaces for 0 ≤ α1 ≤ α2 ≤ 1, and prove partial results on the sharpness of the ...
Toft, Joachim, Wahlberg, Patrik
core  

Riesz transform characterization of Hardy spaces associated with Schr\"odinger operators with compactly supported potentials

open access: yes, 2009
Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semigroup generated by -L.
A. Sikora   +10 more
core   +1 more source

Some estimates for Hausdorff operators

open access: yes, 2015
In this paper, we give some sufficient conditions for the boundedness of three types of Hausdorff operators on the Lebesgue spaces with power weights. In some cases, these conditions are also necessary and the corresponding operator norms are worked out.
G. Gao   +3 more
semanticscholar   +1 more source

Some necessary and sufficient conditions for a VMO function

open access: yesJournal of Mathematical Inequalities, 2020
. Let (cid:2) L p , λ ( R n ) ( W (cid:2) L q , λ ( R n )) be the (weak) modi fi ed Morrey spaces. In this paper, for some appropriate indices p , λ and q , we fi rstly prove that the commutator [ b , I α ] , generated by the symbol b and the fractional ...
Guangqing Wang, Jin ui Li
semanticscholar   +1 more source

Two weight estimates for a class of (p, q) type sublinear operators and their commutators

open access: yesOpen Mathematics, 2019
In the present paper, the authors investigate the two weight, weak-(p, q) type norm inequalities for a class of sublinear operators 𝓣γ and their commutators [b, 𝓣γ] on weighted Morrey and Amalgam spaces.
Yunpeng Hu, Jiang Zhou, Yonghui Cao
doaj   +1 more source

Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn

open access: yesOpen Mathematics, 2019
The main result of this paper is the ...
Arsenović Miloš, Jovanović Tanja
doaj   +1 more source

Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces

open access: yesOpen Mathematics, 2020
In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif   +2 more
doaj   +1 more source

A note on commutators of strongly singular Calderón-Zygmund operators

open access: yesOpen Mathematics, 2022
In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
doaj   +1 more source

A note on boundedness of the Hardy-Littlewood maximal operator on Morrey spaces

open access: yes, 2015
In this paper we prove that the Hardy-Littlewood maximal operator is bounded on Morrey spaces $\mathcal{M}_{1,\lambda}(\rn)$, $0 \le \la < n$ for radial, decreasing functions on $\rn$Comment: 7 ...
Gogatishvili, A., Mustafayev, R. Ch.
core   +1 more source

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