Wireless　body　area　networks　(WBANs)　consist　of　a　number　of　low-power　sensors,　through　which　specialists　can　remotely　monitor　the　real-time　vital　parameters　of　patients.　This　facility　can　improve　healthcare　quality　and　reduce　associated　costs　considerably.　However,　WBAN　devices　typically　have　limited　resources　that　severely　hinder　the　quality　of　services.　To　alleviate　these　limitations,　the　concept　of　cloud-assisted　WBANs　has　been　proposed.　In　such　networks,　the　cloud　server　provides　extensive　computational　and　storage　resources　for　processing　and　storing　the　collected　data.　However,　outsourcing　data　to　a　third-party　provider　raises　concerns　over　data　confidentiality,　data　integrity,　and　fine-grained　access　and　search　control.　To　address　these　concerns,　we　put　forward　a　Lightweight　Verifiable　Data　Management　(LVDM)　scheme.　Our　scheme　offers　efficient　fine-grained　access　and　search　control　mechanisms.　Also,　in　LVDM,　the　computational　overhead　incurred　by　sensors　is　very　low,　and　almost　all　computational　tasks　in　the　data　encryption,　data　retrieval,　and　decryption　phases　are　performed　by　the　cloud　server.　Moreover,　our　scheme　enables　users　to　remotely　check　the　data　integrity　and　the　accuracy　of　operations　performed　by　the　cloud.　Our　detailed　security　and　performance　analysis　demonstrates　that　LVDM　is　provable　secure　and　yields　better　performance　over　other　similar　schemes.　©　2022,　The　Author(s),　under　exclusive　licence　to　Springer　Science+Business　Media,　LLC,　part　of　Springer　Nature.