Orlicz spaces, α-decreasing functions, and the Δ₂ condition

Gary M. Lieberman

Colloquium Mathematicae (2004)

  • Volume: 101, Issue: 1, page 113-120
  • ISSN: 0010-1354

Abstract

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We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.

How to cite

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Gary M. Lieberman. "Orlicz spaces, α-decreasing functions, and the Δ₂ condition." Colloquium Mathematicae 101.1 (2004): 113-120. <http://eudml.org/doc/284198>.

@article{GaryM2004,
abstract = {We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.},
author = {Gary M. Lieberman},
journal = {Colloquium Mathematicae},
keywords = {Orlicz spaces; condition; condition; elliptic equations; positive increasing functions},
language = {eng},
number = {1},
pages = {113-120},
title = {Orlicz spaces, α-decreasing functions, and the Δ₂ condition},
url = {http://eudml.org/doc/284198},
volume = {101},
year = {2004},
}

TY - JOUR
AU - Gary M. Lieberman
TI - Orlicz spaces, α-decreasing functions, and the Δ₂ condition
JO - Colloquium Mathematicae
PY - 2004
VL - 101
IS - 1
SP - 113
EP - 120
AB - We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.
LA - eng
KW - Orlicz spaces; condition; condition; elliptic equations; positive increasing functions
UR - http://eudml.org/doc/284198
ER -

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