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Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w
Journal of Function Spaces and Applications, 2012 The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f ...
Maciej Ciesielski, Anna Kamińska
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Hardy spaces of holomorphic functions for domains in Cn with Minimal Smoothness [PDF]
, 2016 We prove various representations and density results for Hardy spaces of holomorphic functions for two classes of bounded domains in Cn, whose boundaries satisfy minimal regularity conditions (namely the classes C2 and C1, 1, respectively) together with ...
Stein E. M., Lanzani L.
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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Notions of Stein spaces in non-archimedean geometry [PDF]
, 2019 31 pagesInternational audienceLet $k$ be a non-archimedean complete valued field and $X$ be a $k$-analytic space in the sense of Berkovich. In this note, we prove the equivalence between three properties: 1) for every complete valued extension $k'$ of $k$
Poineau, Jérôme, Maculan, Marco
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manuscripta mathematica, 2004 plain TeX, 8 ...
Akhiezer, Dmitri, Heinzner, Peter
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Stein Manifolds and Holomorphic Mappings [PDF]
, 2011 The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. This book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated ...
Franc Forstnerič, Forstneric, Franc
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Stein–Weiss inequality on product spaces [PDF]
Revista Matemática Iberoamericana, 2020 We give a classification between weighted norm inequalities of strong fractional integral operators and their corresponding multi-parameter Muckenhoupt characteristics, by considering the weights to be power functions. As a result, we extend the classical Stein–Weiss theorem on product spaces.
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Advanced Materials Technologies, EarlyView.Milled polycrystalline NMC811 cathode (MPC NMC) with smaller secondary particle and higher surface area had 1) greater cathode tortuosity, 2) reduced surface Ni on the cycled MPC cathodes consistent with surface reconstruction, and 3) increased Ni deposition from cathode‐anode crosstalk, manifesting in lower functional capacity and higher impedance ...
Edelmy J. Marin Bernardez +22 more
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A cohomological Steinness criterion for holomorphically spreadable complex spaces [PDF]
, 2010 summary:Let $X$ be a complex space of dimension $n$, not necessarily reduced, whose cohomology groups $H^1(X,{\cal O}), \ldots , H^{n-1}(X,{\cal O})$ are of finite dimension (as complex vector spaces).
Viorel Vâjâitu, Vâjâitu, Viorel
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Octonionic Kerzman–Stein Operators [PDF]
, 2021 In this paper we consider generalized Hardy spaces in the octonionic setting associated to arbitrary Lipschitz domains where the unit normal field exists almost everywhere.
Constales, Denis, Kraußhar, Rolf Sören
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