Results 41 to 50 of about 124 (105)
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we find sufficient conditions on functions ω1, ω2 which ensure the boundedness of Riesz potentials and their commutators with BMO functions from one local complementary generalized Orlicz–Morrey spaces M ∁Φ,ω1x0ℝn to the spaces M ∁Ψ,ω2x0ℝn. As a consequence of the boundedness of the Riesz potential, we give the boundedness the fractional
Canay Aykol +3 more
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Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces
Open Mathematics, 2023 In this article, the main aim is to consider the boundedness of the nonlinear commutator of pp-adic sharp maximal operator ℳp♯{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the pp-adic Lipschitz spaces in the context of the pp-adic ...
Wu Jianglong, Chang Yunpeng
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Embeddings of α-Modulation Spaces [PDF]
, 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 ...
Wahlberg, Patrik, Toft, Joachim
core
Open Mathematics, 2020 In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J. +2 more
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Variable Anisotropic Hardy Spaces with Variable Exponents
Analysis and Geometry in Metric Spaces, 2021 Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen +3 more
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, 2018 Пусть ̸= 0 и измеримое множество, || > 0. Для неотрицательной функции ∈ () средним порядка называется величина (,) := (||−1 ∫︀ () )1/. В работе изучается класс ′ 1,2,1(0) функций , удовлетворяющих обратному неравенству Гельдера, ⟨⟩ = sup⊂0 [2(,)−
Воронкова, С. Р. +4 more
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A note on commutators of strongly singular Calderón-Zygmund operators
Open 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
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On the L p-boundedness of Calderón-Zygmund operators
Advanced Nonlinear StudiesThe main result in this paper is that, for singular integral operators associated with standard kernels, local L 1-estimates imply global L p-estimates for every p ∈ (1, ∞).
Mitrea Dorina, Mitrea Marius
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Two weight estimates for a class of (p, q) type sublinear operators and their commutators
Open 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
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Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn
Open Mathematics, 2019 The main result of this paper is the ...
Arsenović Miloš, Jovanović Tanja
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