Leo Larsson

Multiplicative inequalities of Carlson type and interpolation

Carlsons Inequalities Some Extensions and Complements to Carlsons Inequalities The Continuous Case Levins Theorem Some Multi-Dimensional Generalizations and Variations Some Carlson Type Inequalities for Weighted Lebesgue Spaces with General Measures Carlson Type Inequalities and Real Interpolation Theory Further Connection to Interpolation Theory, the Peetre Method Related Results and Applications Appendices: A Historical Note on Fritz David Carlson (1888-1952) A Translation of the Original Article by Carlson from French to English.

Carlson type inequalities and embeddings of interpolation spaces

We discuss the close relation between Carlson type inequalities ∥a∥X ≤ K∥a∥ 1-θ A 0 ∥a∥ θ A 1 and interpolation, and prove embedding results for real interpolation spaces, in particular into weighted Lp-spaces.

Carlson type inequalities for finite sums and integrals on bounded intervals

We investigate Carlson type inequalities for finite sums, that is, inequalities of the form ∑mk=1ak