$L^ p$ regularity of velocity averages

DOI10.1016/S0294-1449(16)30264-5zbMath0763.35014MaRDI QIDQ1177837

Yves Meyer, Pierre-Louis Lions, Ronald J. Di Perna

Publication date: 26 June 1992

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1991__8_3-4_271_0

zbMATH Keywords

Besov spaces spectral decomposition transport equations Sobolev $L(\sup p)$-multipliers interpolating arguments Littlewood-Paley type decompositions time dependent case time-independent case Vlasov-Maxwell systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) PDEs in connection with quantum mechanics (35Q40) Linear first-order PDEs (35F05) (H^p)-spaces (42B30) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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\(L^ p\) regularity of velocity averages