TY - JOUR
T1 - Higher integrability via Riesz transforms and interpolation
AU - Capone, Claudia
AU - Greco, Luigi
AU - Iwaniec, Tadeusz
N1 - Funding Information:
Research was performed during T. Iwaniec's visit to the Dipartimento di Matematica e Applicazioni “R. Caccioppoli” dell’Università degli Studi di Napoli “Federico II”. It was supported by GNAFA-CNR, “Progetto di ricerca MURST 97012260402” su “Equazioni differenziali e Calcolo delle Variazioni” and by NFG 9401104. C. Capone was supported by “Fondo Sociale Europeo”. L. Greco was supported by MURST.
PY - 2002/5
Y1 - 2002/5
N2 - Elementary interpolation was used in nonlinear partial differential equations (PDE) to study higher integrability via Riesz transforms. The analysis was conducted in Dirichlet space of locally integrable functions in RN. The uniqueness statement for solutions of the nonlinear PDE was also proved.
AB - Elementary interpolation was used in nonlinear partial differential equations (PDE) to study higher integrability via Riesz transforms. The analysis was conducted in Dirichlet space of locally integrable functions in RN. The uniqueness statement for solutions of the nonlinear PDE was also proved.
KW - Interpolation
KW - Nonlinear commutators
KW - Reverse Hölder inequalities
KW - Singular integrals
KW - p-Harmonic equations
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U2 - 10.1016/S0362-546X(01)00119-5
DO - 10.1016/S0362-546X(01)00119-5
M3 - Article
AN - SCOPUS:0036568057
SN - 0362-546X
VL - 49
SP - 513
EP - 523
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 4
ER -