Journal of Mathematical Inequalities, 2020 In this paper, the author establishes inhomogeneous multi-parameter Besov and TriebelLizorkin spaces associated with different homogeneities. Moreover, the boundedness of the composition of two inhomogeneous Calderón-Zygmund singular integrals of order ...
J. Tan
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Stein-Weiss inequality for local mixed radial-angular Morrey spaces
Open Mathematics, 2022 In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
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Fractional Orlicz-Sobolev extension/imbedding on Ahlfors $n$-regular domains [PDF]
arXiv, 2020 In this paper we build up a criteria for fractional Orlicz-Sobolev extension and imbedding domains on Ahlfors $n$-regular domains.
arxiv
Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
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Rough singular integral operators and its commutators on generalized weighted Morrey spaces
, 2016 Let Ω ∈ Lq(Sn−1) be a homogeneous function of degree zero with q > 1 and have a mean value zero on Sn−1 . In this paper, we study the boundedness of the singular integral operators with rough kernels TΩ and their commutators [b,TΩ ] on generalized ...
V. Guliyev, Vugar H. Hamzayev
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Two-weighted inequalities for the fractional integral associated to the Schrödinger operator
, 2020 In this article we prove that the fractional integral operator associated to the Schrödinger second order differential operator L −α/2 = (−Δ + V )−α/2 maps with continuity weak Lebesgue space Lp,∞(v) into weighted Campanato-Hölder type spaces BMOL (w ...
R. Crescimbeni +2 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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Global well-posedness for KdV in Sobolev Spaces of negative index [PDF]
, 2001 The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data.
Colliander, J. +4 more
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ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES
, 2020 In this paper we consider the generalized shift operator, associated with the Dunkl operator and we investigate maximal commutators, commutators of singular integral operators and commutators of the fractional integral operators associated with the ...
S. Hasanli
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Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
Open MathematicsIn this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
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