Recent advances in harmonic analysis have renewed interest in Hausdorff operators and Hardy inequalities, given their central role in understanding the structure of function spaces. Hausdorff ...

In the second part of our series, we will delve into mastering essential math concepts crucial for success in the 10th-grade math exam. From algebraic equations to geometric theorems, understanding ...

This paper contains inequalities for the expectations of permutation-invariant concave functions and Schur-concave functions of the partial sums of nonnegative exchangeable random variables. Two ...

We show that the Green functions on flat tori can have either three or five critical points only. There does not seem to be any direct method to attack this problem. Instead, we have to employ ...