Smooth operators for the regular representation on homogeneous spaces

Severino Melo

Displaying similar documents to “Smooth operators for the regular representation on homogeneous spaces”

On Making Involutive vector spaces into Topological *-Algebras

Yannis Tsertos (2005)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Similarity:

[unknown]

E. Albrecht, W. Ricker (1998)

Studia Mathematica

Similarity:

The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in $L^{p} (ℝ^{N})$ . The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi:...

A condition implying boundedness and VMO for a function f

Michelangelo Franciosi (1997)

Studia Mathematica

Similarity:

Some boundedness and VMO results are proved for a function f integrable on a cube $Q_{0}$ , starting from an integral bound.

$B M O_{ψ}$ -spaces and applications to extrapolation theory

Stefan Geiss (1997)

Studia Mathematica

Similarity:

We investigate a scale of $B M O_{ψ}$ -spaces defined with the help of certain Lorentz norms. The results are applied to extrapolation techniques concerning operators defined on adapted sequences. Our extrapolation works simultaneously with two operators, starts with $B M O_{ψ}$ - $L_{\infty}$ -estimates, and arrives at $L_{p}$ - $L_{p}$ -estimates, or more generally, at estimates between K-functionals from interpolation theory.

Besov spaces on symmetric manifolds—the atomic decomposition

Leszek Skrzypczak (1997)

Studia Mathematica

Similarity:

We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.

Quasi-multipliers of the algebra of approximable operators and its duals

Michael Grosser (1997)

Studia Mathematica

Similarity:

Let A be the Banach algebra $K_{0} (X)$ of approximable operators on an arbitrary Banach space X. For the spaces of all bilinear continuous quasi-multipliers of A resp. its dual A* resp. its bidual A**, concrete representations as spaces of operators are given.

Remarks on singular convolution operators

Andreas Seeger (1990)

Studia Mathematica

Similarity:

Comparing gaussian and Rademacher cotype for operators on the space of continuous functions

Marius Junge (1996)

Studia Mathematica

Similarity:

We prove an abstract comparison principle which translates gaussian cotype into Rademacher cotype conditions and vice versa. More precisely, let 2 < q < ∞ and T: C(K) → F a continuous linear operator. (1) T is of gaussian cotype q if and only if ${(\sum_{k} {((∥ T x_{k} ∥_{F}) / (\sqrt l o g (k + 1)))}^{q})}^{1 / q} \leq c ∥ \sum_{k} ɛ_{k} x_{k} ∥_{L_{2} (C (K))}$ , for all sequences ${(x_{k})}_{k \in ℕ} \subset C (K)$ with ${(∥ T x_{k} ∥)}_{k = 1}^{n}$ decreasing. (2) T is of Rademacher cotype q if and only if $(\sum_{k} {(∥ T x_{k} ∥_{F} \sqrt ({(l o g (k + 1))}^{q}))}^{1 / q} \leq c ∥ \sum_{k} g_{k} x_{k} ∥_{L_{2} (C (K))}$ , for all sequences ${(x_{k})}_{k \in ℕ} \subset C (K)$ with ${(∥ T x_{k} ∥)}_{k = 1}^{n}$ decreasing. Our method allows a restriction to a fixed number of vectors and complements the corresponding results of...

Babylonian Mathematics and Pythagorean Triads

Theodoros G. Exarchakos (1995)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Similarity:

On certain nonstandard Calderón-Zygmund operators

Steve Hofmann (1994)

Studia Mathematica

Similarity:

We formulate a version of the T1 theorem which enables us to treat singular integrals whose kernels need not satisfy the usual smoothness conditions. We also prove a weighted version. As an application of the general theory, we consider a class of multilinear singular integrals in $ℝ^{n}$ related to the first Calderón commutator, but with a kernel which is far less regular.

On theta functions of real algebraic number fields

Martin Eichler (1977)

Acta Arithmetica

Similarity:

Triebel-Lizorkin spaces on spaces of homogeneous type

Y.-S. Han (1994)

Studia Mathematica

Similarity:

In [HS] the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type were introduced. In this paper, the Triebel-Lizorkin spaces on spaces of homogeneous type are generalized to the case where $p_{0} < p \leq 1 \leq q < \infty$ , and a new atomic decomposition for these spaces is obtained. As a consequence, we give the Littlewood-Paley characterization of Hardy spaces on spaces of homogeneous type which were introduced by the maximal function characterization in [MS2].

Representations of the spaces $C^{\infty} (ℝ^{N}) \cap H^{k, p} (ℝ^{N})$

A. Albanese, V. Moscatelli (2000)

Studia Mathematica

Similarity:

We give a representation of the spaces $C^{\infty} (ℝ^{N}) \cap H^{k, p} (ℝ^{N})$ as spaces of vector-valued sequences and use it to investigate their topological properties and isomorphic classification. In particular, it is proved that $C^{\infty} (ℝ^{N}) \cap H^{k, 2} (ℝ^{N})$ is isomorphic to the sequence space $s^{ℕ} \cap l^{2} (l^{2})$ , thereby showing that the isomorphy class does not depend on the dimension N if p=2.

$L^{p}$ -improving properties of measures supported on curves on the Heisenberg group

Silvia Secco (1999)

Studia Mathematica

Similarity:

$L^{p}$ - $L^{q}$ boundedness properties are obtained for operators defined by convolution with measures supported on certain curves on the Heisenberg group. We find the curvature condition for which the type set of these operators can be the full optimal trapezoid with vertices A=(0,0), B=(1,1), C=(2/3,1/2), D=(1/2,1/3). We also give notions of right curvature and left curvature which are not mutually equivalent.