Hardy spaces and dilations on homogeneous groups

DOI10.1090/PROC/16995MaRDI QIDQ6654053

Jordy Timo van Velthoven, Tommaso Bruno

Publication date: 18 December 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Cites Work

• Quantization on nilpotent Lie groups
• Stable semi-groups of measures as commutative approximate identities of non-graded homogeneous groups
• Singular integral characterizations of Hardy spaces on homogeneous groups
• Parabolic maximal functions associated with a distribution
• Parabolic maximal functions associated with a distribution. II
• An atomic decomposition of distributions in parabolic \(H^p\) spaces
• Classifying decomposition and wavelet coorbit spaces using coarse geometry
• A classification of anisotropic Besov spaces
• Duals of Hardy spaces on homogeneous groups
• An inversion problem for singular integral operators on homogeneous groups
• Remark on Commutative Approximate Identities on Homogeneous Groups
• Anisotropic Hardy spaces and wavelets
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hardy Spaces on Homogeneous Groups and Littlewood-Paley Functions
• Functions of Matrices
• A partial differential equation characterization of anisotropic Hardy spaces
• Classification of anisotropic Triebel-Lizorkin spaces

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