Concepedia

Grand Orlicz spaces and global integrability of the Jacobian

Claudia Capone, G. E. Karadzhov

MATHEMATICA SCANDINAVICA · 2008 · 13 citations · 10 references

DOIFull text

Open access

Concepts

Abstract

We introduce and investigate the grand Orlicz spaces and the grand Lorentz-Orlicz spaces. An application to the problem of global integrability of the Jacobian of orientation preserving mappings is given.

References

10

On the integrability of the Jacobian under minimal hypotheses

Tadeusz Iwaniec, Carlo Sbordone · Archive for Rational Mechanics and Analysis · 1992 · 492 citations

, , +1

Grand and Small Lebesgue Spaces and Their Analogs

Alberto Fıorenza, G. E. Karadzhov · Zeitschrift für Analysis und ihre Anwendungen · 2004 · 188 citations · Full text

, , +5

Duality and reflexivity in grand Lebesgue spaces

Alberto Fıorenza · RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya) · 2000 · 184 citations · Full text

Mappings of finite distortion: Monotonicity and continuity

Tadeusz Iwaniec, Pekka Koskela, Jani Onninen · Inventiones mathematicae · 2001 · 172 citations

, , +2

Extrapolation theory with applications

Björn Jawerth, Mario Milman · Memoirs of the American Mathematical Society · 1991 · 115 citations

, , +2