Results 1 to 10 of about 3,318 (162)
Some estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications [PDF]
arXiv, 2013 In this paper we study some estimates of norms in variable exponent Lebesgue spaces for a singular integral operators that are imaginary powers of the Laplace operator in $\R^n$. Using Mellin transform argument, from this estimates we obtain boundedness for a family of maximal operators in variable exponent Lebesgue spaces, which are closely related to
Fiorenza, Alberto +2 more
arxiv +3 more sources
Journal of Mathematical Inequalities, 2022 Let G = ( RN ,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G , X0,X1, . . . ,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN . Assume that X1, . . . ,Xm (m N − 1) are homogeneous of degree one
V. Guliyev
semanticscholar +1 more source
Comptes rendus. Mathematique, 2021 Let d ∈ {3,4,5, . . .} and a weight w ∈ A∞. We consider the second-order Riesz transform T =∇2 L−1 associated with the Schrödinger operator L = −∆+V , where V ∈ RHσ with σ > 2 . We present three main results.
Trong Nguyen Ngoc +2 more
semanticscholar +1 more source
Two type Estimates for the Boundedness of Generalized Riesz Potential Operator in the Generalized Weighted Local Morrey Spaces [PDF]
, 2021 In this paper, we prove the Spanne-type boundedness of the generalized Riesz potential operator Iρ from the one generalized weighted local Morrey spaces M {x0} p,φ1 (w p,Rn) to the another one M {x0} q,φ2 (w q,Rn) with wq ∈ A1+ q p′ for 1 < p < q < ∞ and
A. Kucukaslan
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Open Mathematics, 2021 This paper is devoted to the weak and strong estimates for the linear and multilinear fractional Hausdorff operators on the Heisenberg group Hn{{\mathbb{H}}}^{n}. A sharp strong estimate for TΦm{T}_{\Phi }^{m} is obtained.
Deng Yangkendi +3 more
doaj +1 more source
Oscillatory hyper-Hilbert transform on Wiener amalgam spaces
Open Mathematics, 2021 We study the boundedness of the oscillatory integral Tα,βf(x,y)=∫Q2f(x−γ1(t),y−γ2(s))e−2πit−β1s−β2t−α1−1s−α2−1dtds{T}_{\alpha ,\beta }f\left(x,y)=\mathop{\int }\limits_{{Q}^{2}}f\left(x-{\gamma }_{1}\left(t),y-{\gamma }_{2}\left(s)){e}^{-2\pi i{t ...
Sun Wei, Xie Ru-Long, Xu Liang-Yu
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Open Mathematics, 2021 In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
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Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
Open Mathematics, 2023 We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
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Mean oscillation and boundedness of multilinear operator related to multiplier operator
Open Mathematics, 2021 In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
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A note on weighted estimates for bilinear fractional integral operators
Mathematical Inequalities & Applications, 2021 . De Napoli, Drelichman and Dur´an (2011) proved weighted estimates for the fractional integral operators. Komori-Furuya and Sato (2020) proved weighted estimates for bilinear fractional integral operators.
Y. Komori‐Furuya
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