Operators of Bochner-Riesz type for the helix

Elena Prestini

Displaying similar documents to “Operators of Bochner-Riesz type for the helix”

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Harmonic analysis on the group of rigid motions of the Euclidean plane

Richard Rubin (1978)

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On the notion of gradient. III. Gradient as a limit value of a surface integral

Stanisław Gołąb, A. Pliś (1960)

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Decay of Fourier transforms and summability of eigenfunction expansions

Luca Brandolini, Leonardo Colzani (2000)

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Multipliers for Hermite expansions.

Sundaram Thangavelu (1987)

Revista Matemática Iberoamericana

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The aim of this paper is to prove certain multiplier theorems for the Hermite series.

A difference quotient norm for spaces of quasi-homogeneous Bessel potentials

Richard Bagby (1971)

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The non-existence of $L^{p}$ -estimates for certain translation-invariant operators

W. Littman, C. McCarthy, N. Rivière (1968)

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Spectral localization, power boundedness and invariant subspaces under Ritt's type condition

Yu. Lyubich (1999)

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For a bounded linear operator T in a Banach space the Ritt resolvent condition $∥ R_{λ} (T) ∥ \leq C / | λ - 1 |$ (|λ| > 1) can be extended (changing the constant C) to any sector |arg(λ - 1)| ≤ π - δ, $a r c c o s (C^{- 1}) < δ < π / 2$ . This implies the power boundedness of the operator T. A key result is that the spectrum σ(T) is contained in a special convex closed domain. A generalized Ritt condition leads to a similar localization result and then to a theorem on invariant subspaces.

Rough maximal functions and rough singular integral operators applied to integrable radial functions.

Peter Sjögren, Fernando Soria (1997)

Revista Matemática Iberoamericana

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Let Ω be homogeneous of degree 0 in R and integrable on the unit sphere. A rough maximal operator is obtained by inserting a factor Ω in the definition of the ordinary maximal function. Rough singular integral operators are given by principal value kernels Ω(y) / |y|, provided that the mean value of Ω vanishes. In an earlier paper, the authors showed that a two-dimensional rough maximal operator is of weak type (1,1) when restricted to radial functions. This result is now extended to...