Matrix-weighted Besov-type and Triebel-Lizorkin-type spaces. III: Characterizations of molecules and wavelets, trace theorems, and boundedness of pseudo-differential operators and Calderón-Zygmund operators
DOI10.1007/s00209-024-03584-8MaRDI QIDQ6623316
Wen Yuan, Da Chun Yang, Fan Bu, Tuomas P. Hytönen
Publication date: 23 October 2024
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
tracewaveletpseudo-differential operatormoleculeBesov-type spaceCalderón-Zygmund operatormatrix weightTriebel-Lizorkin-type space\(A_p\)-dimension
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)
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