Results 61 to 70 of about 4,701,977 (282)
Zygmund inequality of the conjugate function on Morrey-Zygmund spaces
Demonstratio Mathematica, 2019 We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
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Boundedness of fractional maximal operator and its commutators on generalized Orlicz-Morrey spaces
, 2014 We consider generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\mathbb{R}^{n})$ including their weak versions $WM_{\Phi,\varphi}(\mathbb{R}^{n})$. We find the sufficient conditions on the pairs $(\varphi_{1},\varphi_{2})$ and $(\Phi, \Psi)$ which ensures
Deringoz, Fatih, Guliyev, Vagif S.
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Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
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Boundedness of some operators on grand generalized Morrey spaces over non-homogeneous spaces
AIMS Mathematics, 2022 The aim of this paper is to obtain the boundedness of some operator on grand generalized Morrey space $\mathcal{L}^{p),\varphi,\phi}_{\mu}(G)$ over non-homogeneous spaces, where $G\subset$ $\mathbb{R}^{n}$ is a bounded domain.
Suixin He, Shuangping Tao
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MORREY SPACES AND FRACTIONAL OPERATORS [PDF]
Journal of the Australian Mathematical Society, 2010 AbstractThe relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.
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Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces
, 2022 We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded domain $Ω\subset {\mathbb R}^d$. This covers, in particular, the meanwhile well-known and completely answered situation for spaces of Besov and Triebel-Lizorkin type defined on bounded domains which has ...
Haroske, Dorothee D., Skrzypczak, Leszek
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Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
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Parabolic Fractional Maximal Operator in Modified Parabolic Morrey Spaces
Journal of Function Spaces and Applications, 2012 We prove that the parabolic fractional maximal operator MαP, 0 ...
Vagif S. Guliyev, Kamala R. Rahimova
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Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Open Mathematics, 2020 In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif +2 more
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Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces
, 2018 We present a self-contained proof of Uhlenbeck's decomposition theorem for $\Omega\in L^p(\mathbb{B}^n,so(m)\otimes\Lambda^1\mathbb{R}^n)$ for $p\in (1,n)$ with Sobolev type estimates in the case $p \in[n/2,n)$ and Morrey-Sobolev type estimates in the ...
Goldstein, Pawel +1 more
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