Homogeneous algebras via heat kernel estimates
DOI10.1090/tran/8697OpenAlexW3130123876MaRDI QIDQ5039047
Publication date: 12 October 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.11613
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10) Harmonic analysis on homogeneous spaces (43A85) Nilpotent and solvable Lie groups (22E25) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
Cites Work
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- Besov-type and Triebel-Lizorkin-type spaces associated with heat kernels
- On Hardy and BMO spaces for Grushin operator
- Algebra properties for Sobolev spaces -- applications to semilinear PDEs on manifolds
- Two-sided estimates of heat kernels on metric measure spaces
- Sobolev algebras through heat kernel estimates
- Homogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators
- The limitations of the Poincaré inequality for Grušin type operators
- Calderón reproducing formulas and new Besov spaces associated with operators
- Analysis of degenerate elliptic operators of Grušin type
- Characterizations of Besov-Hardy-Sobolev spaces: A unified approach
- Asymptotics for the heat kernel on H-type groups
- Sobolev spaces on Lie groups: embedding theorems and algebra properties
- Heat kernel generated frames in the setting of Dirichlet spaces
- The Sobolev embedding constant on Lie groups
- Polynomial and horizontally polynomial functions on Lie groups
- Besov and Triebel-Lizorkin spaces on Lie groups
- Fractional Laplacian, homogeneous Sobolev spaces and their realizations
- Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators
- Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators
- Sobolev algebras on Lie groups and Riemannian manifolds
- Liouville's theorem for homogeneous differential operators
- Algebra properties for Besov spaces on unimodular Lie groups
- On the Littlewood-Paley-Stein g-Function
- Besov algebras on Lie groups of polynomial growth
- Potential Spaces on Lie Groups
- Spectral Multipliers of Self-Adjoint Operators on Besov and Triebel–Lizorkin Spaces Associated to Operators
- Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón–Zygmund operators
- WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
- Sobolev Algebras Through a ‘Carré Du Champ’ Identity
- Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
- Fractional powers of operators
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