Restricted summability of Fourier transforms and local Hardy spaces

DOI10.1007/S10114-010-9529-XzbMath1206.42007OpenAlexW2138425822MaRDI QIDQ606317

Ferenc Weisz

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9529-x

zbMATH Keywords

atomic decompositionlocal Hardy spacesWiener amalgam spaces\(\theta \)-summability of Fourier transforms

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces (42B30) Summability in several variables (42B08)

Related Items (1)

On degree of approximation of the Gauss-Weierstrass means for smooth \(L^p(\mathbb R^n)\) functions

Cites Work

• Pointwise convergence of cone-like restricted two-dimensional Fejér means of Walsh-Fourier series
• A local version of real Hardy spaces
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
• Multi-dimensional Fejér summability and local Hardy spaces
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
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