Hardy type inequalities involving suprema
| Subject | Integral equations and integral transforms |
| Title | Hardy type inequalities involving suprema |
| Author(s) | A.M. Abylayeva, A.O. Baiarystanov |
| Keywords | Hardy type inequalities, Oinarov condition, integral operators. |
| Abstract | Let I = (a; b), - a < b , 1 p; q, w is a nonnegative, continuous function on I, and uq, vp are nonnegative locally integrable functions on I, and the function v–p’ is also locally integrable on I.
Let us introduce the operators
R_∞^+ f(x)=sup┬(a |