Maximal noncompactness of embeddings into Marcinkiewicz spaces
Abstract We develop a new functional-analytic technique for investigating the degree of noncompactness of an operator defined on a quasinormed space and taking values in a Marcinkiewicz space. The main result is a general principle from which it can be derived that such operators are almost always maximally noncompact in the sense ...
Jan Malý +3 more
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Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a
Mostafa Bendahmane, Kenneth H. Karlsen
doaj
Let S n − 1 $\mathbb{S}^{n-1}$ denote unit sphere in R n $\mathbb{R}^{n}$ equipped with the normalized Lebesgue measure. Let Φ ∈ L s ( S n − 1 ) $\Phi \in L^{s}(\mathbb{S}^{n-1})$ be a homogeneous function of degree zero such that ∫ S n − 1 Φ ( y ′ ) d σ
Babar Sultan +3 more
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Marcinkiewicz-Zygmund and interpolating families on the ball
This paper examines points and weights on the unit ball B d $\mathbb{B}^{d}$ that satisfy L p $L_{p}$ , 0 < p ≤ ∞ $0< p\le \infty $ , Marcinkiewicz-Zygmund inequalities and interpolating inequalities with respect to a doubling weight.
Jiansong Li
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Wettability, water absorption and water storage in rosette leaves of the dragon tree (Dracaena draco L.). [PDF]
Jura-Morawiec J, Marcinkiewicz J.
europepmc +1 more source
On MV-Algebraic Versions of the Strong Law of Large Numbers. [PDF]
Nowak P, Hryniewicz O.
europepmc +1 more source
Immune Response to Borrelia: Lessons from Lyme Disease Spirochetes. [PDF]
Bockenstedt LK, Wooten RM, Baumgarth N.
europepmc +1 more source
Biocompatibility studies of fluorescent diamond particles-(NV)~800nm (part V): in vitro kinetics and in vivo localization in rat liver following long-term exposure. [PDF]
Gerstenhaber JA +6 more
europepmc +1 more source
Weighted norm inequalities for multilinear Calderón-Zygmund operators in generalized Morrey spaces. [PDF]
Wang P, Liu Z.
europepmc +1 more source
Endoplasmic reticulum stress and mitochondrial injury are critical molecular drivers of AlCl3-induced testicular and epididymal distortion and dysfunction: protective role of taurine. [PDF]
Khalaf HA +5 more
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