Results 1 to 10 of about 4,507 (93)
Schrödinger Harmonic Functions with Morrey Traces on Dirichlet Metric Measure Spaces
Mathematics, 2022 Assume that (X,d,μ) is a metric measure space that satisfies a Q-doubling condition with Q>1 and supports an L2-Poincaré inequality. Let 𝓛 be a nonnegative operator generalized by a Dirichlet form E and V be a Muckenhoupt weight belonging to a reverse ...
Tianjun Shen, Bo Li
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Ergodicity of a Generalized Jacobi's Equation and Applications [PDF]
, 2015 Consider a $1$-dimensional centered Gaussian process $W$ with $\alpha$-H\"older continuous paths on the compact intervals of $\mathbb R_+$ ($\alpha\in ]0,1[$) and $W_0 = 0$, and $X$ the local solution in rough paths sense of Jacobi's equation driven by ...
Marie, Nicolas
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On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]
, 2015 In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
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Journal of Function Spaces and Applications, 2010 We consider non-standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X.
Natasha Samko +2 more
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Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties [PDF]
, 2012 We show, using a direct variational approach, that the second boundary value problem for the Monge-Amp\`ere equation in R^n with exponential non-linearity and target a convex body P is solvable iff 0 is the barycenter of P.
Berman, Robert J., Berndtsson, Bo
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Extremal dichotomy for uniformly hyperbolic systems [PDF]
, 2015 We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria +4 more
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A fractional Brownian field indexed by $L^2$ and a varying Hurst parameter [PDF]
, 2014 Using structures of Abstract Wiener Spaces, we define a fractional Brownian field indexed by a product space $(0,1/2] \times L^2(T,m)$, $(T,m)$ a separable measure space, where the first coordinate corresponds to the Hurst parameter of fractional ...
Richard, Alexandre
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Rigid spheres in Riemannian spaces
, 2013 Choice of an appropriate (3+1)-foliation of spacetime or a (2+1)-foliation of the Cauchy space, leads often to a substantial simplification of various mathematical problems in General Relativity Theory.
Chow B +19 more
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An optimal transportation approach to the decay of correlations for non-uniformly expanding maps
, 2022 We consider the transfer operators of non-uniformly expanding maps for potentials of various regularity, and show that a specific property of potentials ("flatness") implies a Ruelle-Perron-Frobenius Theorem and a decay of the transfer operator of the ...
Kloeckner, Benoît
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Some sample path properties of multifractional Brownian motion
, 2014 The geometry of the multifractional Brownian motion (mBm) is known to present a complex and surprising form when the Hurst function is greatly irregular.
Balança, Paul
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