Autor:	Melas, Antonios D., Nikolidakis, Eleftherios N.
Rok vydání:	2015
Předmět:	Mathematics - Functional Analysis 42B25
Druh dokumentu:	Working Paper
Popis:	We precisely evaluate Bellman type functions for the dyadic maximal opeator on $R^n$ and of maximal operators on martingales related to local Lorentz type estimates. Using a type of symmetrization principle, introduced for the dyadic maximal operator in earlier works of the authors we precisely evaluate the supremum of the Lorentz quasinorm of the maximal operator on a function $\phi$ when the integral of $\phi$ is fixed and also the same Lorentz quasinorm of $\phi$ is fixed. Also we find the corresponding supremum when the integral of $\phi$ is fixed and several weak type conditions are given. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.06112 Zobrazit plný text záznamu View this record from Arxiv