Title of article :
Generalization of Interpolation Inequalities
Author/Authors :
Quande Chen، نويسنده , , Xinlong Zhou*، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1998
Abstract :
Assuming that the nth iterate of the Laplacian Dn f belongs to Lr Rd ., we
investigate for 0Fk-2n the validity of the following interpolation inequality:
5Dj1 ??? Djkf5qFK5f51pya 5Dn f 5ar ,
where Dj i is the derivative in the direction j i.
Keywords :
Interpolation inequality , Gauss operator , Laplace operator. , Landau]Kolmogorovinequality
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
