Boundedness of pseudodifferential operators on mixed-norm spaces (CROSBI ID 573648)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Ivec, Ivan ; Antonić, Nenad
engleski
Boundedness of pseudodifferential operators on mixed-norm spaces
Pseudodifferential operators have nice boundedness properties on Sobolev spaces. These properties are consequences of L^p boundedness of zeroth order operators, a classical result improving Hormander-Mihlin theorem. We prove the extension of the above result to mixed-norm L^p spaces (introduced by Benedek & Panzone in 1961), by applying the Calderon-Zygmund decomposition and generalised Marcinkiewicz interpolation theorem. Finally, we show some extensions to boundedness of classical pseudodifferential operators (of any order) on Sobolev spaces, having possible application to the theory of partial differential equations.
pseudodifferential operator ; mixed-norm Lebesgue space
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Podaci o prilogu
30-30.
2011.
objavljeno
Podaci o matičnoj publikaciji
ApplMath11, 7th Conference on Applied Mathematics and Scientific Computing, Trogir, Croatia
Marušić, Miljenko ; et al.
Trogir:
Podaci o skupu
7th Conference on Applied Mathematics and Scientific Computing
predavanje
13.06.2011-17.06.2011
Trogir, Hrvatska