scientific article

zbMath0659.47045MaRDI QIDQ3808742

Masao Yamazaki

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

boundedness propertiesmicrolocal parametricesanisotropic Besov and Triebel-Lizorkin spacescalculus for paradifferential operatorsquasihomogeneous case

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators ⋮ On a limiting case for pointwise multiplication in Nikol'skii-Besov spaces ⋮ Nonregular pseudo-differential operators ⋮ Pseudodifferential operators on spaces of distributions associated with non-negative self-adjoint operators ⋮ Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms ⋮ On traces of general decomposition spaces ⋮ Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces ⋮ Lifting in Besov spaces ⋮ Composition operators on Lizorkin-Triebel spaces ⋮ Boundedness for pseudodifferential operators on multivariate \(\alpha \)-modulation spaces ⋮ Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications ⋮ Szasz's theorem and its generalizations

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