A class of dielectric filtering inverted-L antenna with reflective-and quasi-reflectionless-type radiation nulls is proposed to achieve wideband or dual-band operation. To this aim, a dual-function dissipative branch is exploited, which is in-parallel loaded at the feedline of the microstrip-fed dielectric inverted-L antenna. This absorptive branch, which is terminated in a grounded resistor, exhibits a quasicomplementary frequency response with regard to the one of the antenna. In this manner, it can mostly absorb the out-of-band RF-signal power not radiated by the antenna, hence creating quasi-reflectionless-type radiation nulls. Furthermore, the loaded branch can also generate a notch band giving rise to a reflective-type radiation null, which comes determined by the length of the branch and it is independent of the quasireflectionless radiation nulls. Thus, by controlling the spectral location of the notch band out of or within the operational frequency band of the dielectric inverted-L antenna, wideband or dual-band operational capabilities can be functionalized into it. For experimental-validation purposes, proof-of-concept prototypes for the two devised wideband and dual-band antenna approaches are designed, manufactured, and characterized. The measured results are in reasonably-close agreement with the simulated ones. The measured fractional impedance bandwidths of the two antenna prototypes are 28.3% (wideband one), 3.1% and 4.2% (dual-band one), respectively.INDEX TERMS Absorptive antenna, dielectric filtering antenna, dielectric inverted-L antenna, dual-band antenna, notch band, radiation null, wideband antenna.