2 papers
math.CA2008
Boundedness of multidimensional Hausdorff operators on and spaces
Elijah Liflyand
For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space by means of atomic…
math.FA2008
Tensor, Sobolev, Multiplicative and Convolution Operators in the Bide - Side Grand Lebesque Spaces
E. Liflyand, E. Ostrovsky, L. Sirota
In this paper we study the multiplicative, tensor, Sobolev's and convolution inequalities in certain Banach spaces, the so-called Bide - Side Grand Lebesque Spaces, and give exampl…