The Trace Theorem, the Luzin N- and Morse-Sard Properties for the Sharp Case of Sobolev-Lorentz Mappings [0.03%]
Sobolev-Lorentz映射的迹定理、Luzin N-和Morse-Sard性质（Sharp情形）
Mikhail V Korobkov,Jan Kristensen
Mikhail V Korobkov
We prove Luzin N- and Morse-Sard properties for mappings v : R n → R d of the Sobolev-Lorentz class W p , 1 k , p = n k (this is the sharp case that guaranties the continuity of mappings). Our main tool is a new trace theorem fo...
Morrey Spaces on Domains: Different Approaches and Growth Envelopes [0.03%]
Morrey域上的空间：不同的方法和增长-envelope
Dorothee D Haroske,Cornelia Schneider,Leszek Skrzypczak
Dorothee D Haroske
We deal with Morrey spaces on bounded domains Ω obtained by different approaches. In particular, we consider three settings M u , p ( Ω ) , M u , p ( Ω ) and M u , p ( Ω ) , where 0
Weak and Strong Type [Formula: see text] - [Formula: see text] Estimates for Sparsely Dominated Operators [0.03%]
稀疏支配算子的弱型和强型[Formula: see text]-[Formula: see text]估计式
Dorothee Frey,Zoe Nieraeth
Dorothee Frey
We consider operators T satisfying a sparse domination property | ⟨ T f , g ⟩ | ≤ c ∑ Q ∈ S ⟨ f ⟩ p 0 , Q ⟨ g ⟩ q 0 ' , Q | Q | with averaging exponents 1 ≤ p 0
Xueyuan Wan
Xueyuan Wan
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a str...
Injectivity and Stability for a Generic Class of Generalized Radon Transforms [0.03%]
广义Radon变换的一类典型族的单射性和稳定性
Andrew Homan,Hanming Zhou
Andrew Homan
Let (M, g) be an analytic, compact, Riemannian manifold with boundary, of dimension n ≥ 2 . We study a class of generalized Radon transforms, integrating over a family of hypersurfaces embedded in M, satisfying the Bolker condition (...
Per Åhag,Rafał Czyż,Lisa Hed
Per Åhag
We study the geometry of m-regular domains within the Caffarelli-Nirenberg-Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every m-hyperconvex domain admits ...
Błażej Wróbel
Błażej Wróbel
We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework, we prove Coifman-Meyer type multiplier theorems and fractional Leibniz rules. Our theory applies to bilinear multip...
K-Semistability of cscK Manifolds with Transcendental Cohomology Class [0.03%]
具有 transcen dental上同调类的 cscK 流形的 K-半稳定性
Zakarias Sjöström Dyrefelt
Zakarias Sjöström Dyrefelt
We prove that constant scalar curvature Kähler (cscK) manifolds with transcendental cohomology class are K-semistable, naturally generalising the situation for polarised manifolds. Relying on a recent result by R. Berman, T. Darvas and C. ...
Han Peters,Iris Marjan Smit
Han Peters
We investigate the existence of wandering Fatou components for polynomial skew-products in two complex variables. In 2004, the non-existence of wandering domains near a super-attracting invariant fiber was shown in Lilov (Fatou theory in tw...