Spaces \(H^1\) and BMO on \(ax+b\)-groups

DOI10.1007/BF03191372zbMath1176.22010arXiv0804.4615MaRDI QIDQ735096

Maria Vallarino

Publication date: 14 October 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4615

zbMATH Keywords

interpolationHardy spaceBMOsingular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70)

Related Items (13)

Riesz transforms on \(ax+b\) groups ⋮ A family of Hardy-type spaces on nondoubling manifolds ⋮ Atomic Hardy-type spaces between \( H^1\) and \( L^1\) on metric spaces with non-doubling measures ⋮ On the $H^1$--$L^1$ boundedness of operators ⋮ Analysis on trees with nondoubling flow measures ⋮ Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups ⋮ Equivalent characterizations for boundedness of maximal singular integrals on \(ax+b\)-groups ⋮ Hardy Spaces on Weighted Homogeneous Trees ⋮ Dyadic sets, maximal functions and applications on \(ax + b\)-groups ⋮ Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth ⋮ Wave equation and multiplier estimates on Damek-Ricci spaces ⋮ BMO spaces on weighted homogeneous trees ⋮ Riesz transforms on solvable extensions of stratified groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on maximal functions on a solvable Lie group
• Interpolation between \(L^\infty\) and \(H^1\), the real method
• Multipliers and singular integrals on exponential growth groups
• BMO for nondoubling measures
• Singular integrals on symmetric spaces of real rank one
• The \(Tb\)-theorem on non-homogeneous spaces.
• Singular integrals associated to the Laplacian on the affine group \(ax+b\)
• BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• \(H^p\) spaces of several variables
• Wave equation and multiplier estimates on ax+b groups
• Two observations on a theorem by Coifman
• Extensions of Hardy spaces and their use in analysis
• Analysis of a Distinguished Laplacian on Solvable Lie Groups
• Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures

This page was built for publication: Spaces \(H^1\) and BMO on \(ax+b\)-groups