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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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Parabolic oblique derivative problem in generalized Morrey spaces
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the ...
A Akbulut +19 more
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For any function f f belonging to Q p , λ Q^{p,\lambda } , a certain proper subspace of the classical Morrey space L p , λ L^{p, \lambda } , a sharp capacity weak-type estimate is obtained for its Riesz
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Let \(K:[0,\infty)\to [0,\infty)\) be a right-continuous nondecreasing function. The space \(Q_K\) consists of the holomorphic functions \(f\) in the unit disk \(\mathbb{D}\) such that \[ \|f\|_K^2 = \sup_{a\in\mathbb{D}} \int_{\mathbb{D}} |f^\prime(z)|^2 K(g(z,a))\, \mathrm{d}A(z) \frac{1}{2}\), and \(K\)-Carleson measures. If \(\alpha\) is a positive
Wulan, Hasi, Zhou, Jizhen
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We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients.
Guliyev Vagif S., Omarova Mehriban N.
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Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces
In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
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Sufficient conditions for the precompactness of sets in Local Morrey-type spaces
In this paper we give sufficient conditions for the pre-compactness of sets in local Morrey-type spaces LMpθ,w(·)(Rn). For w(r) = r−λ, θ = ∞, 0 ≤ λ ≤ np there follows a known result for the Morrey spacesMλp (Rn). In the case λ = 0 this is the well-known
D.T. Matin +2 more
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Sharp Morrey-Sobolev inequalities on complete Riemannian Manifolds
Two Morrey-Sobolev inequalities (with support-bound and $L^1-$bound, respectively) are investigated on complete Riemannian manifolds with their sharp constants in $\mathbb R^n$.
Kristály, Alexandru
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Some Estimates of Rough Bilinear Fractional Integral
We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
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We prove the boundedness of global classical solutions for the semilinear heat equation $u_t-\Delta u= |u|^{p-1}u$ in the whole space $R^n$, with $n\ge 3$ and supercritical power $p>(n+2)/(n-2)$.
Adams +48 more
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