Weaving continuous $K$-frames in Hilbert spaces

In this paper, we introduce and study weaving continuous $K$-frames in Hilbert spaces. We first introduce a useful result for the production of these frames and then examine them under the influence of a bounded operator. Due to the basic and useful applications of different types of frames in restoring some deleted information on data transfer issues, we give at the end of the paper some conditions of setting the frame under the removal of some members of the measure space and we show that this is related to the discrete $K$-frames.