Results 41 to 50 of about 800 (184)
Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces
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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Remarks on a Subspace of Morrey Spaces [PDF]
\textit{C. T. Zorko} [Proc. Am. Math. Soc. 98, 586--592 (1986; Zbl 0612.43003)] identified the predual \(Z^{q, \lambda}(\mathbb{T})\) of the Morrey spaces \(L^{p,\lambda}(\mathbb{T})\) on the unit circle \(\mathbb{T}\) for ...
IZUMI, Takashi +2 more
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Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
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Dual spaces of local Morrey-type spaces [PDF]
Let \(\omega \) be a weight function on \((0,\infty )\). The local Morrey-type spaces \(LM_{p,\theta ,\omega }\) with the norm \(\| \omega (r)\| f\| _{L_p(B(0,r))}\| _{L_{\theta }(0,\infty )}\) are considered.
Gogatishvili, Amiran, Mustafayev, Rza
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Zygmund inequality of the conjugate function on Morrey-Zygmund spaces
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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On the Fourier transform of measures in Besov spaces
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
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Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces
This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang +3 more
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Parabolic Fractional Maximal Operator in Modified Parabolic Morrey Spaces
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
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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Operator‐Theoretic Probability Framework in Morrey Spaces With Applications to Option Price Dynamics
We develop a unified operator‐theoretic and probabilistic framework for a class of fractional and jump‐type evolution equations in the generalized Morrey spaces. The analysis is based on the semigroup theory and subordination principles which allow us for the treatment of nonlocal temporal dynamics and discontinuous effects.
Philip Ajibola Bankole +3 more
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