Hardy spaces of conjugate temperatures

Martha Guzmán-Partida

Displaying similar documents to “Hardy spaces of conjugate temperatures”

Fatou and Korányi-Vági type theorems on the minimal ball.

Nguyên Viêt Anh (2002)

Publicacions Matemàtiques

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In this paper we develop the H(p ≥ 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Koráanyi-Vági type on this ball.

Addendum to the paper "On the product of the conjugates outside the unit circle of an algebraic number"

Andrzej Schinzel (1975)

Acta Arithmetica

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Volume ratios in $L_{p}$ -spaces

Yehoram Gordon, Marius Junge (1999)

Studia Mathematica

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There exists an absolute constant $c_{0}$ such that for any n-dimensional Banach space E there exists a k-dimensional subspace F ⊂ E with k≤ n/2 such that $i n f_{e l l i p s o i d ε \subset B_{E}} {(v o l (B_{E}) / v o l (ε))}^{1 / n} \leq c_{0} i n f_{z o n o i d Z \subset B_{F}} {(v o l (B_{F}) / v o l (Z))}^{1 / k}$ . The concept of volume ratio with respect to $ℓ_{p}$ -spaces is used to prove the following distance estimate for $2 \leq q \leq p < \infty$ : $s u p_{F \subset ℓ_{p}, d i m F = n} i n f_{G \subset L_{q}, d i m G = n} d (F, G) \sim_{c_{p q}} n^{(q / 2) (1 / q - 1 / p)}$ .

Asymptotic expansions of finite theta series

H. Fiedler, W. Jurkat, O. Körner (1977)

Acta Arithmetica

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On values of homogeneous polynomials in discrete sets of points

P. Wojtaszczyk (1986)

Studia Mathematica

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On the lattice point theory of multidimensional ellipsoids

B. Diviš, B. Novák (1974)

Acta Arithmetica

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The existence and the continuation of holomorphic solutions for convolution equations in tube domains

Ryuichi Ishimura, Yasunori Okada (1994)

Bulletin de la Société Mathématique de France

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Short-time heat flow and functions of bounded variation in $R^{N}$

Michele Miranda, Diego Pallara, Fabio Paronetto, Marc Preunkert (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove a characterisation of sets with finite perimeter and $B V$ functions in terms of the short time behaviour of the heat semigroup in $R^{N}$ . For sets with smooth boundary a more precise result is shown.