Sökning: "Larissa Arendarenko"

Hittade 2 avhandlingar innehållade orden Larissa Arendarenko.

1. 1. Estimates for Hardy-type integral operators in weighted Lebesgue spaces

   Författare :Larissa Arendarenko; Massimo Lanza de Cristoforis; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This PhD thesis deals with the theory of Hardy-type inequalities in a new situation, namely when the classical Hardy operator is replaced by a more general operator with a kernel. The kernels we consider belong to the new classes $\mathcal{O}^+_n$ and $\mathcal{O}^-_n$, $n=0,1,... LÄS MER

3. 2. Some new Hardy-type Inequalities for integral operators with kernels

   Författare :Larissa Arendarenko; Massimo Lanza de Cristoforis; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This Licentiate thesis deals with the theory of Hardy-type inequalities in anew situation, namely when the classical Hardy operator is replaced by amore general operator with kernel. The kernels we consider belong to thenew classes O+ n and O-n , n = 0; 1; :::, which are wider than co-called Oinarovclass of kernels. LÄS MER