Dyadic sets, maximal functions and applications on \(ax + b\)-groups
From MaRDI portal
Publication:663259
DOI10.1007/S00209-010-0809-ZzbMath1241.22013arXiv1003.0580OpenAlexW2125038773MaRDI QIDQ663259
Maria Vallarino, Li Guang Liu, Da Chun Yang
Publication date: 14 February 2012
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.0580
Analysis on real and complex Lie groups (22E30) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70)
Related Items (3)
Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups ⋮ Equivalent characterizations for boundedness of maximal singular integrals on \(ax+b\)-groups ⋮ Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth
Cites Work
- Unnamed Item
- Unnamed Item
- Equivalent characterizations for boundedness of maximal singular integrals on \(ax+b\)-groups
- Spaces \(H^1\) and BMO on \(ax+b\)-groups
- A note on maximal functions on a solvable Lie group
- Boundedness from \(H^1\) to \(L^1\) of Riesz transforms on a Lie group of exponential growth
- Wave equation and multiplier estimates on Damek-Ricci spaces
- Multipliers and singular integrals on exponential growth groups
- Fourier integral operators on noncompact symmetric spaces of real rank one
- Multipliers for a distinguished Laplacean on solvable extensions of \(H\)-type groups
- Singular integrals associated to the Laplacian on the affine group \(ax+b\)
- Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications
- A maximal function on harmonic extensions of \(H\)-type groups
- \(H^p\) spaces of several variables
- Interpolation of analytic families of operators
- Wave equation and multiplier estimates on ax+b groups
- H1 and BMO for certain locally doubling metric measure spaces
- Extensions of Hardy spaces and their use in analysis
- An estimate for a first-order Riesz operator on the affine group
- Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
- Boundedness of $L^1$ spectral multipliers for an exponential solvable Lie group
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Intermediate spaces and interpolation, the complex method
This page was built for publication: Dyadic sets, maximal functions and applications on \(ax + b\)-groups