\(T1\) theorems on Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and their applications

DOI10.4171/ZAA/1132zbMath1041.43006MaRDI QIDQ1866640

Da Chun Yang

Publication date: 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Triebel-Lizorkin spacesCalderón-Zygmund operatorsBesov spacesspaces of homogeneous type\(T1\) theoremsBessel potentials

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items

The \(Tb\) theorem for inhomogeneous Besov and Triebel-Lizorkin spaces and its application ⋮ Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type ⋮ \(T1\) theorem for inhomogeneous Triebel-Lizorkin and Besov spaces on RD-spaces and its application ⋮ \(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces ⋮ Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities ⋮ Boundedness of operators on Campanato spaces related with Schrödinger operators on Heisenberg groups ⋮ Algebras of Calderón-Zygmund Operators on RD Spaces ⋮ Some new Besov and Triebel-Lizorkin spaces associated with para-accretive functions on spaces of homogeneous type ⋮ A 𝑇(1)-theorem in relation to a semigroup of operators and applications to new paraproducts ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications ⋮ Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón–Zygmund operators

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