An embedding into an Orlicz space for $L^1_1$-functions from irregular domains - UTU Research Portal

A3 Refereed book chapter or chapter in a compilation book

An embedding into an Orlicz space for $L^1_1$-functions from irregular domains

Authors: Petteri Harjulehto and Ritva Hurri-Syrjänen

Editors: Mark L. Agranovsky, Bar-Ilan University, Ramat-Gan, Israel, Matania Ben-Artzi, Hebrew University of Jerusalem, Jerusalem, Israel, Greg Galloway, University of Miami, Coral Gables, FL, Lavi Karp, ORT Braude College, Karmiel, Israel, Dmitry Khavinson, University of South Florida, Tampa, FL, Simeon Reich, Technion-Israel Institute of Technology, Haifa, Israel, Gilbert Weinstein, Ariel University, Ariel, Israel and Lawrence Zalcman, Bar-Ilan University, Ramat-Gan, Israel, Editors

Conference name: Complex Analysis and Dynamical Systems VI

Publication year: 2015

Book title : Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform

Series title: Contemporary mathematics

Volume: 653

First page : 177

Last page: 189

Number of pages: 3

ISBN: 978-1-4704-1653-9

ISSN: 1098-3627

DOI: https://doi.org/10.1090/conm/653

Abstract

We prove an embedding into an Orlicz space for $L^1_1$-functions defined in irregular bounded John domains of the Euclidean $n$-space.

We show that the result is essentially sharp.

We study Orlicz embeddings for $L^1_p$-funtions, $1