Since the risk in financial markets has become much more uncertain and volatile than before, the usual risk measures may be limited when dealing with the risk management. In this paper, we will study several classes of risk measures on a special space $L^{p(\cdot)}$ where the variable exponent $p(\cdot)$ is no longer a given real number like the space $L^{p}$, but a random variable, which reflects the possible volatility of the financial markets. The dual representations for them are also provided.
↧
