Results 71 to 80 of about 3,240 (213)
Notes on commutators and Morrey spaces
Hokkaido Mathematical Journal, 2003 Let \(I_\alpha ...
KOMORI, Yasuo, MIZUHARA, Takahiro
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The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces
Cauchy: Jurnal Matematika Murni dan AplikasiThe small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces ...
Rizky Aziz Syaifudin +3 more
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Journal of Function Spaces, 2022 In this paper, we establish the boundedness of the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, respectively.
Mingquan Wei, Lanyin Sun
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Journal of Inequalities and Applications, 2020 In this paper, we prove weighted norm inequalities for vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space.
Nan Zhao, Jiang Zhou
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On Seeley‐type universal extension operators for the upper half space
Mathematische Nachrichten, Volume 297, Issue 3, Page 811-832, March 2024.Abstract Modified from the standard half‐space extension via the reflection principle, we construct a linear extension operator for the upper half space R+n$\mathbb {R}^n_+$ that has the form Ef(x)=∑j=−∞∞ajf(x′,−bjxn)$Ef(x)=\sum _{j=-\infty }^\infty a_jf(x^{\prime },-b_jx_n)$ for xn<0$x_n<0$. We prove that E$E$ is bounded in all Ck$C^k$‐spaces, Sobolev
Haowen Lu, Liding Yao
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Paraproduct in Besov–Morrey Spaces [PDF]
, 2019 Recently it turned out that the paraproduct plays the key role in some highly singular partial differential equations. In this note the counterparts for Besov--Morrey spaces are obtained. This note is organized in a self-contained manner.
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Journal of Function SpacesIn this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue ...
Naqash Sarfraz +3 more
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Basin Research, Volume 36, Issue 2, March–April 2024.The caption of this graphical abstract is as follows: Schematic representation of the reconstructed diagenetic evolution model showing the stepwise mechanisms resulting in the higher secondary porosity in the central part of a sandstone unit. The middle interval B has a better grain sorting, resulting in a greater depositional porosity.
Huan Li +5 more
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On Dirichlet problem in Morrey spaces
Differential and Integral Equations, 1993 The author studies regularity properties of the weak solutions of the Dirichlet problem \[ - {\partial \over {\partial x_ i}} \biggl( a_{ij} {{\partial u} \over {\partial x_ i}} \biggr)- {\partial \over {\partial x_ i}} (b_ i u)= {{\partial f_ i} \over {\partial x_ i}} \quad \text{in } \Omega, \qquad u=0 \quad\text{on } \partial\Omega, \tag{1} \] if ...
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Explicit improvements for Lp$\mathrm{L}^p$‐estimates related to elliptic systems
Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 914-930, March 2024.Abstract We give a simple argument to obtain Lp$\mathrm{L}^p$‐boundedness for heat semigroups associated to uniformly strongly elliptic systems on Rd$\mathbb {R}^d$ by using Stein interpolation between Gaussian estimates and hypercontractivity. Our results give p$p$ explicitly in terms of ellipticity. It is optimal at the endpoint p=∞$p=\infty$.
Tim Böhnlein, Moritz Egert
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