CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS
Atanas StefanovDepartment of Mathematics, University of Kansas, 1460 Jayhawk Boulevard, Lawrence, KS 66045–7523 USA, [email protected], [email protected]Rodolfo H. TorresDepartment of Mathematics, University of Kansas, 1460 Jayhawk Boulevard, Lawrence, KS 66045–7523 USA, [email protected], [email protected]
2004en
ABI
Аннотация
The boundedness of Calderón–Zygmund operators is proved in the scale of the mixed Lebesgue spaces. As a consequence, the boundedness of the bilinear null forms Qi j (u,υ) =∂i u∂j υ − ∂j u∂i υ, Q0(u,υ)=ut υt −∇x u· ∇x υ on various space–time mixed Sobolev–Lebesgue spaces is shown.
Ҳали таржима қилинмаган
Идентификаторлар
Иқтибослар ва манбалар
2 та иқтибос0 та фойдаланилган манба