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Displaying 1341 – 1360 of 2300

On spectrality of the algebra of convolution dominated operators

Gero Fendle, Karlheinz Gröchenig, Michael Leinert (2007)

Banach Center Publications

If G is a discrete group, the algebra CD(G) of convolution dominated operators on l²(G) (see Definition 1 below) is canonically isomorphic to a twisted L¹-algebra $l ¹ (G, l^{\infty} (G), T)$ . For amenable and rigidly symmetric G we use this to show that any element of this algebra is invertible in the algebra itself if and only if it is invertible as a bounded operator on l²(G), i.e. CD(G) is spectral in the algebra of all bounded operators. For G commutative, this result is known (see [1], [6]), for G noncommutative discrete...

On s-sets and mutual absolute continuity of measures on homogeneous spaces.

Tord Sjödin (1997)

Manuscripta mathematica

On strictly sparse subsets of a free group.

Averina, Ya.S., Frenkel', E.V. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

On strong Riesz sets

Robert E. Dressler, Louis Pigno (1974)

Colloquium Mathematicae

On symmetry of group algebras of discrete nilpotent groups

A. Hulanicki (1970)

Studia Mathematica

On tails of stationary measures on a class of solvable groups

Dariusz Buraczewski (2007)

Annales de l'I.H.P. Probabilités et statistiques

On Tensor Products of Banach Lattices.

S. Kaijser (1981)

Monatshefte für Mathematik

On the Asymptotic Behaviour of Convolution Powers of Probabilities on Discrete Groups.

Donald I. Cartwright (1989)

Monatshefte für Mathematik

On the Banach algebra A (...) for smooth sets ... Rn.

Yngve Domar (1977)

Commentarii mathematici Helvetici

On the behaviour of sequences in the dual of a nilpotent Lie group.

Jean Ludwig (1990)

Mathematische Annalen

On the Bohr Compactification of a Transformation Group.

Magnus B. Landstad (1972)

Mathematische Zeitschrift

On the Bohr Topology in Amenable Topological Groups.

Magnus B. Landstad (1971)

Mathematica Scandinavica

On the causal structure of Lorentzian Lie groups. A globality theorem for Lorentzian cones in certain solvable Lie algebras.

Dirk Mittenhuber (1996)

Mathematische Annalen

On the characterization of Hardy-Besov spaces on the dyadic group and its applications

Jun Tateoka (1994)

Studia Mathematica

C. Watari [12] obtained a simple characterization of Lipschitz classes $L i p^{(p)} α (W) (1 \geq p \geq \infty, α > 0)$ on the dyadic group using the $L^{p}$ -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces $B_{p, q}^{α}$ on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces $B_{p, q}^{α}$ by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality of the...

On the characterization of harmonic functions with initial data in Morrey space

Bo Li, Jinxia Li, Bolin Ma, Tianjun Shen (2024)

Czechoslovak Mathematical Journal

Let $(X, d, μ)$ be a metric measure space satisfying the doubling condition and an $L^{2}$ -Poincaré inequality. Consider the nonnegative operator $ℒ$ generalized by a Dirichlet form on $X$ . We will show that a solution $u$ to $(- \partial_{t}^{2} + ℒ) u = 0$ on $X \times ℝ_{+}$ satisfies an $α$ -Carleson condition if and only if $u$ can be represented as the Poisson integral of the operator $ℒ$ with the trace in the generalized Morrey space $L^{2, α} (X)$ , where $α$ is a nonnegative function defined on a class of balls in $X$ . This result extends the analogous characterization founded...

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