Displaying similar documents to “On new 'explicit formulas' in prime number theory II”

L p -boundedness for pseudodifferential operators with non-smooth symbols and applications

Gianluca Garello, Alessandro Morando (2005)

Bollettino dell'Unione Matematica Italiana

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Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of L p continuity for pseudodifferential operators whose symbol a(x,ξ) is non smooth with respect to x and whose derivatives with respect to ξ have a decay of order ρ with 0 < ρ 1 . The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.

The Hausdorff dimension of some special plane sets

Jan Mařík (1994)

Mathematica Bohemica

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A compact set T 𝐑 2 is constructed such that each horizontal or vertical line intersects T in at most one point while the α -dimensional measure of T is infinite for every α ( 0 , 2 ) .