for the Riesz potential. The Hardy–Littlewood–Sobolev lemma implies the Sobolev embedding essentially by the relationship between the Riesz transforms...

operators acting on Lp spaces. Marcinkiewicz' theorem is similar to the Riesz–Thorin theorem about linear operators, but also applies to non-linear operators...

technique which can be applied to any linear differential equation. By the Riesz representation theorem there exists a unique solution u 0 {\textstyle u_{0}}...

superclass end. Birkhoff (1948). Vogt (1895). Rival (1985), p. 110. E.g., see Di Battista & Tamassia (1988) and Freese (2004). For examples of this alternative...

complete and careful presentation of the theory. Good presentation of the Riesz extension theorems. However, there is a minor flaw (in the first edition)...

did not require them. Another proof, due to Lipót Fejér and to Frigyes Riesz, was published in 1922 and it was rather shorter than the previous ones...

conjecture about nonnegative trigonometric polynomials. (Solved by Frigyes Riesz.) 1927 Emil Artin's solution of Hilbert's 17th problem 1927 Krull–Baer Theorem...

comparing its vectors componentwise. Ordered vector spaces, for example Riesz spaces, are fundamental to Lebesgue integration, which relies on the ability...

transform and its inverse are known to be continuous for the Lp norm. The Riesz–Thorin convexity theorem implies that the norms Cp are continuous functions...