TY - JOUR AU - Kakizawa, RyƓhei TI - Equivalent conditions for the validity of the Helmholtz decomposition of Muckenhoupt $A_{p}$-weighted $L^{p}$-spaces JO - Czechoslovak Mathematical Journal PY - 2018 SP - 771 EP - 789 VL - 68 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0646-16/ DO - 10.21136/CMJ.2018.0646-16 LA - en ID - 10_21136_CMJ_2018_0646_16 ER -