On the Extension of the Reverse Hölder Inequality for Power Functions on the Real Axis
On the Extension of the Reverse Hölder Inequality for Power Functions on the Real Axis
We consider the class of all nonnegative on $\mathbb R_+$ functions such that each of them satisfies the reverse Hölder inequality uniformly over all intervals with some constant, the minimum value of which can be regarded as the corresponding “norm” of a function. We compare this “norm” with the “norm” …