Results 1 to 10 of about 1,923 (136)
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
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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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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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Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces
Open Mathematics, 2021 Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions.
Wang Hailian, Xie Rulong
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Polynomial sequences in discrete nilpotent groups of step 2
Advanced Nonlinear Studies, 2023 We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular integrals operators, an almost everywhere pointwise convergence theorem ...
Ionescu Alexandru D. +3 more
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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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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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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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Sobolev's theorem for double phase functionals
, 2020 Our aim in this paper is to establish generalizations of Sobolev’s theorem for double phase functionals Φ(x,t) = t p + {b(x)t(log(e+ t))τ} , where 1 < p q < ∞ , τ > 0 and b is a nonnegative bounded function satisfying |b(x)− b(y)| C|x− y|θ (log(e+ |x− y|−
Y. Mizuta, T. Ohno, T. Shimomura
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