We have measured the Hall coefficient RH and the electrical conductivity σ of a series of ultrathin indium tin oxide films between 2 and 300 K. A robust RH ∝ lnT law is observed in a considerably wide temperature range of 2 and ∼120 K. This lnT dependence is explained as originated from the electron-electron interaction effect in the presence of granularity, as newly theoretically predicted. Furthermore, we observed a σ ∝ lnT law from 3 K up to several tens K, which also arose from the Coulomb interaction effect in inhomogeneous systems. These results provide strong experimental supports for the current theoretical concepts for charge transport in granular metals with intergrain tunneling conductivity gT ≫1.PACS numbers: 72.20.My, 72.80.Tm Granular metals are composite materials in which the metallic granules are randomly embedded in an insulating matrix. Recently, the electronic conduction properties of granular metals have attracted much renewed theoretical 1-4 and experimental 5-9 attention, due to the improved nanoscale feature and rich fundamental phenomena in the presence of structural inhomogeneities. In particular, the intragrain electron dynamics is found to play a crucial role in the Hall transport 4 which has often been overlooked in the everlasting studies of granular systems. Previously, great efforts have long been focused on the intergrain electron behavior which governs the longitudinal electrical conductivity σ.2,3,10 In practice, an experimental detection of a many-body correction to σ is straightforward, while a measurement of a small correction to the Hall coefficient R H in a metallic system would be a challenging task.A granular metal refers to a granular conductor with the dimensionless intergrain tunneling conductivity g T =G T /(2e 2 /h)≫1, where G T is the intergrain tunneling conductance, e is the electronic charge, and h is the Planck constant. Efetov, Beloborodov, and coworkers have lately carried out a series of theoretical investigations in this regime. They found that the Coulomb electron-electron (e-e) interaction effect governs the carrier transport characteristics in the presence of granularity. Kharitonov and Efetov predicted that, in the wide temperature interval of g T δ k B T E 0 , R H should obeywhere n * is the effective carrier concentration, c d is a numerical lattice factor, δ is the mean energy level spacing in the grain, E c is the charging energy, E 0 =min(g T E c , E Th ), and E Th is the Thouless energy.In addition, Efetov and Tschersich 2 and Beloborodov et al.3 predicted that the intergrain e-e interaction effect would cause a longitudinal electrical conductivityin the temperature interval g T δ