May the Cauchy transform of a non-trivial finite measure vanish on the support of the measure?

Tolsa, Xavier; Verdera, Joan

Displaying similar documents to “May the Cauchy transform of a non-trivial finite measure vanish on the support of the measure?”

Potential theory of quasiminimizers.

Kinnunen, Juha, Martio, Olli (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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Asymptotic growth of Cauchy transforms.

Jones, P.W., Poltoratski, A.G. (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

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On the law of large numbers for free identically distributed random variables.

Munteanu, Bogdan Gheorghe (2007)

General Mathematics

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Generalizations of Hölder's inequality.

Cheung, Wing-Sum (2001)

International Journal of Mathematics and Mathematical Sciences

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Lower semicontinuity of multiple $μ$ -quasiconvex integrals

Ilaria Fragalà (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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Lower semicontinuity results are obtained for multiple integrals of the kind $\int_{ℝ^{n}} f (x, \nabla_{μ} u) d μ$ , where $μ$ is a given positive measure on $ℝ^{n}$ , and the vector-valued function $u$ belongs to the Sobolev space $H_{μ}^{1, p} (ℝ^{n}, ℝ^{m})$ associated with $μ$ . The proofs are essentially based on blow-up techniques, and a significant role is played therein by the concepts of tangent space and of tangent measures to $μ$ . More precisely, for fully general $μ$ , a notion of quasiconvexity for $f$ along the tangent bundle to $μ$ , turns out to be necessary...

Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces

Szymon Głąb, Filip Strobin (2013)

Czechoslovak Mathematical Journal

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Jachymski showed that the set $\{(x, y) \in 𝐜_{0} \times 𝐜_{0} : {(\sum_{i = 1}^{n} α (i) x (i) y (i))}_{n = 1}^{\infty} is bounded\}$ is either a meager subset of $𝐜_{0} \times 𝐜_{0}$ or is equal to $𝐜_{0} \times 𝐜_{0}$ . In the paper we generalize this result by considering more general spaces than $𝐜_{0}$ , namely $𝐂_{0} (X)$ , the space of all continuous functions which vanish at infinity, and $𝐂_{b} (X)$ , the space of all continuous bounded functions. Moreover, we replace the meagerness by $σ$ -porosity.

Properties of solutions of optimization problems for set functions.

Dorosiewicz, Slawomir (2001)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “May the Cauchy transform of a non-trivial finite measure vanish on the support of the measure?”

Potential theory of quasiminimizers.

Asymptotic growth of Cauchy transforms.

On the law of large numbers for free identically distributed random variables.

Generalizations of Hölder's inequality.

Lower semicontinuity of multiple μ -quasiconvex integrals

Dichotomies for 𝐂 0 ( X ) and 𝐂 b ( X ) spaces

Properties of solutions of optimization problems for set functions.

Lower semicontinuity of multiple $μ$ -quasiconvex integrals

Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces