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However since the spaces of Cauchy transforms are defined in terms of Borel measures, it seems natural to investigate the relation between the behavior of the composition operator

Keywords and Phrases: Calculus of conormal symbols, conormal asymptotic expansions, discrete asymptotic types, weighted Sobolev spaces with discrete asymptotics, semilinear

This is achieved through a characteri- zation of these operators in terms of the mapping properties between the Sobolev spaces H P s ( R n ) of their iterated commutators

Then we prove some regularity results, in the sense of Sobolev or H¨older spaces (see Theorems 5, 6), when the coefficients are more regular, as well as the generalization of all

Degenerating hyperbolic equations, multidimensional ver- sions of a characteristic problem, Sobolev weighted space, functional space with negative

Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations, 1996, New York.. [4]

Our approach relies on the variable exponent theory of Lebesgue and Sobolev spaces combined with adequate variational methods and the Mountain Pass Theorem.. Keywords and

The analytical version is constructive. Two distinct contexts [isentropic; strictly anisentropic of a particular type] are considered for a hyperbolic system of a gasdy- namic type.