ADDITIVE WEIGHTED L-p ESTIMATES OF SOME CLASSES OF INTEGRAL OPERATORS INVOLVING GENERALIZED OINAROV KERNELS

作者：Abylayeva A M^*; Baiarystanov A O; Persson L E; Wall P

来源：Journal of Mathematical Inequalities, 2017, 11(3): 683-694.

DOI：10.7153/jmi-2017-11-54

• Weighted Hardy inequalities
• weighted functions
• fractional order operator

Inequalities of the form
parallel to uK f parallel to(q) <= C(parallel to rho f parallel to(p) + parallel to vH f parallel to(p)), f >= 0,
are considered, where K is an integral operator of Volterra type and H is the Hardy operator. Under some assumptions on the kernel K we give necessary and sufficient conditions for such an inequality to hold.

• 出版日期2017-9