Results 111 to 120 of about 3,996 (166)
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited [PDF]
arXiv, 2013 This note provides a deeper understanding of the main results obtained in the author's 2007 DPDE paper \cite{Xiao}.
arxiv
On the completeness of Gaussians in a Hilbert functional space [PDF]
arXiv, 2014 The completeness of Gaussians in a Hilbert functional space is ...
arxiv
Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces
, 2013 In this paper, we establish the Hardy inequality of the logarithmic type in the critical Sobolev-Lorentz spaces. More precisely, we generalize the Hardy type inequality obtained in Edmunds and Triebel (Math. Nachr. 207:79-92, 1999).
Shuji Machihara, T. Ozawa, H. Wadade
semanticscholar +1 more source
Fractional integrals on B_σ-weighted Morrey spaces
, 2016 By using Bσ -weighted function spaces, we will investigate the weighted estimates of fractional integrals on Bσ -weighted Morrey spaces, which unify the weighted estimates of them on several function spaces.
Y. Komori‐Furuya, Katsuo Matsuoka
semanticscholar +1 more source
Embedding of classes of functions with λ_φ-bounded variation into generalized Lipschitz classes
, 2015 In this note, we obtain the sufficient and necessary condition for the embedding of the classes ΛφBV of functions with Λφ -bounded variation into the generalized Lipschitz classes Hω q , 1 q < ∞ .
Heping Wang
semanticscholar +1 more source
Sharp Sobolev Inequalities via Projection Averages. [PDF]
J Geom Anal, 2021 Kniefacz P, Schuster FE.
europepmc +1 more source
Sobolev trace inequality on $W^{s,q}(\mathbb{R}^n)$ [PDF]
arXiv, 2019 Sobolev trace inequalities on nonhomogeneous fractional Sobolev spaces are established.
arxiv
Duality of capacities and Sobolev extendability in the plane. [PDF]
Complex Analysis Synerg, 2021 Zhang YR.
europepmc +1 more source
On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn
Analysis and Geometry in Metric SpacesThis article is devoted to the study of a critical Choquard-Kirchhoff pp-sub-Laplacian equation on the entire Heisenberg group Hn{{\mathbb{H}}}^{n}, where the Kirchhoff function KK can be zero at zero, i.e., the equation can be degenerate, and involving ...
Liang Sihua +3 more
doaj +1 more source
Weighted Hardy-Adams inequality on unit ball of any even dimension
Advances in Nonlinear AnalysisIn this study, we obtain the weighted Hardy-Adams inequality of any even dimension n≥4n\ge 4. Namely, for u∈C0∞(Bn)u\in {C}_{0}^{\infty }\left({{\mathbb{B}}}^{n}) with ∫Bn∣∇n2u∣2dx−∏k=1n⁄2(2k−1)2∫Bnu2(1−∣x∣2)ndx≤1,\mathop{\int }\limits_{{{\mathbb{B}}}^{n}
Wang Xumin
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