Hessian determinants as elements of dual Sobolev spaces

Teresa Radice. "Hessian determinants as elements of dual Sobolev spaces." Studia Mathematica 224.2 (2014): 183-190. <http://eudml.org/doc/285542>.

@article{TeresaRadice2014,
abstract = {In this short note we present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.},
author = {Teresa Radice},
journal = {Studia Mathematica},
keywords = {Jacobian determinant; Hessian determinant; BMO; Hardy space; dual Sobolev spaces},
language = {eng},
number = {2},
pages = {183-190},
title = {Hessian determinants as elements of dual Sobolev spaces},
url = {http://eudml.org/doc/285542},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Teresa Radice
TI - Hessian determinants as elements of dual Sobolev spaces
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 2
SP - 183
EP - 190
AB - In this short note we present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.
LA - eng
KW - Jacobian determinant; Hessian determinant; BMO; Hardy space; dual Sobolev spaces
UR - http://eudml.org/doc/285542
ER -