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We establish new results on the space BV of functions with bounded variation. While it is well known that this space admits no unconditional basis, we show that it is almost characterized by wavelet expansions in the following sense: if a function f is in BV, its coefficient sequence in a BV normalized wavelet basis satisfies a class of weak-l1 type estimates. These weak estimates can be employed to prove many interesting results. We use them to identify the interpolation spaces between BV and Sobolev...

Harmonic analysis on $p$ -torsional groups

Marius Van der Put (1978/1979)

Groupe de travail d'analyse ultramétrique

Harmonic analysis on the one-sheet hyperboloid and multiperipheral inclusive distributions

A. Bassetto, M. Toller (1973)

Annales de l'I.H.P. Physique théorique

Harmonic and analytic functions admitting a distribution boundary value

Emil J. Straube (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Harmonic Bergman spaces with small exponents in the unit ball.

Guangbin Ren (2002)

Collectanea Mathematica

Harmonic extensions and the Böttcher-Silbermann conjecture

P. Gorkin, D. Zheng (1998)

Studia Mathematica

We present counterexamples to a conjecture of Böttcher and Silbermann on the asymptotic multiplicity of the Poisson kernel of the space $L^{\infty} (\partial D)$ and discuss conditions under which the Poisson kernel is asymptotically multiplicative.

Harmonic functional calculus in a quotient involutive Banach algebra. (Calcul fonctionnel harmonique dans une algèbre de Banach involutive quotient.)

Akkar, M., Arroub, H. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Harmonic functions operating in Hermitian Banach algebras.

Abdellah El Kinani (1997)

Publicacions Matemàtiques

The purpose of this paper is to introduce a harmonic functional calculus in order to generalize some extended versions of theorems of von Neumann, Heinz and Ky Fan.

Harmonic interpolating sequences, $L^{p}$ and BMO

John B. Garnett (1978)

Annales de l'institut Fourier

Let $(z_{ν})$ be a sequence in the upper half plane. If $1 < p \leq \infty$ and if $y_{ν}^{1 / p} f (z_{ν}) = a_{ν}, ν = 1, 2, ... (*)$ has solution $f (z)$ in the class of Poisson integrals of $L^{p}$ functions for any sequence $(a_{ν}) \in ℓ^{p}$ , then we show that $(z_{ν})$ is an interpolating sequence for $H^{\infty}$ . If $f (z_{ν}) = a_{ν}$ , $ν = 1, 2, ...$ has solution in the class of Poisson integrals of BMO functions whenever $(a_{ν}) \in ℓ^{\infty}$ , then $(z_{ν})$ is again an interpolating sequence for $H^{\infty}$ . A somewhat more general theorem is also proved and a counterexample for the case $p \leq 1$ is described.

Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces H... and N*.

Manfred Stoll (1976)

Journal für die reine und angewandte Mathematik

Harmonic majorization and thinness

Essén, Matts (1987)

Proceedings of the 14th Winter School on Abstract Analysis

Harmonic spaces associated with adjoints of linear elliptic operators

Peter Sjögren (1975)

Annales de l'institut Fourier

Let $L$ be an elliptic linear operator in a domain in $R^{n}$ . We imposse only weak regularity conditions on the coefficients. Then the adjoint $L^{*}$ exists in the sense of distributions, and we start by deducing a regularity theorem for distribution solutions of equations of type $L^{*} u =$ given distribution. We then apply to $L^{*}$ R.M. Hervé’s theory of adjoint harmonic spaces. Some other properties of $L^{*}$ are also studied. The results generalize earlier work of the author.

Harmonic superfields in $N = 4$ supersymmetric quantum mechanics.

Ivanov, Evgeny A. (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Hausdorff Matrices as Bounded Operators over lp.

Billy E. Rhoades, Amnon Jakimovski (1974)

Mathematische Zeitschrift

Hausdorff Measures of Noncompactness and Interpolation Spaces

da Silva, Eduardo Brandani, Fernanadez, Dicesar L. (2006)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips. From the main result, classical results are obtained now as corollaries and we have an application to interpolation theory of Banach spaces.

Hausdorff operator on Morrey spaces and Campanato spaces

Jianmiao Ruan, Dashan Fan, Hongliang Li (2020)

Czechoslovak Mathematical Journal

We study the high-dimensional Hausdorff operators on the Morrey space and on the Campanato space. We establish their sharp boundedness on these spaces. Particularly, our results solve an open question posted by E. Liflyand (2013).

Heat kernel lower Gaussian estimates in the doubling setting without Poincaré inequality.

S. Boutayeb (2009)

Publicacions Matemàtiques

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