Results 91 to 100 of about 2,392,144 (197)
Measure and integration in Riesz spaces
, 1973 Let [Omega] be a set, A an algebra of subsets of [Omega] , and V a complete Riesz space. The set of bounded, finitely additive set functions from A into V , denoted by M[lowered F]([Omega],A,V) , is a complete Riesz space.
Giese, Sharon Mae
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Riesz capacity: Hausdorff measure and extremal ratios [PDF]
Riesz capacity measures the size of a set in $\mathbb{R}^n$ in terms of a pairwise interaction kernel $|x-y|^{-p}$ with exponent $p In the first part of the dissertation, the decay rate of Riesz capacity as the exponent $p$ increases to $n$ is shown to ...
Fan, Qiuling
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A characterization of the Riesz space of measurable functions [PDF]
Transactions of the American Mathematical Society, 1969 openaire +2 more sources
Riesz spaces of measures on semirings
, 2009 Summary: It is shown that the spaces of finite valued signed measures (signed charges) on \(\sigma\)-semirings (semirings) are Dedekind complete Riesz spaces, which generalizes known results on \(\sigma\)-algebra and algebra cases.
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Potential theory of signed Riesz Kernels: capacity and Hausdorff measure
In this paper, we study the natural capacity γα related to the Riesz kernels x/∣x∣1 + α in ℝn, where 0 < α < n. For noninteger α, an unexpected behaviour arises: for 0 < α < 1, compact sets in ℝn with finite α-Hausdorff measure have zero γα capacity.
Prat, Laura
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Dimensions of Riesz products and pluriharmonic measures
Ufa Mathematical JournalOn the unit sphere in $\mathbb{C}^n$, $n\geq 2$, we consider the Riesz products generated by the Ryll - Wojtaszczyk polynomials. We obtain the lower bound for the energy dimension of such Riesz products. The obtained inequality implies immediately an estimate for the Hausdorff dimension of the considered products.
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Maximal and Riesz potential operators on Musielak-Orlicz spaces over unbounded metric measure spaces
summary:We are concerned with the boundedness of modified Hardy-Littlewood maximal operator $M_{\lambda }$ and Sobolev inequalities for the variable Riesz potentials $I_{\alpha (\cdot ),\tau }f$ on Musielak-Orlicz spaces $L^{\Phi }(X)$ over unbounded ...
Ohno, Takao, Shimomura, Tetsu
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On sufficient density conditions for lattice orbits of relative discrete series. [PDF]
Arch Math, 2022 Enstad U, van Velthoven JT.
europepmc +1 more source
A Mathematical Analysis of IPT-DMFT. [PDF]
Commun Math PhysCancès E, Kirsch A, Perrin-Roussel S.
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Explicit minimisers for anisotropic Riesz energies. [PDF]
Calc Var Partial Differ EquFrank RL +5 more
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