TWO-DIMENTIONAL INTEGRAL TRANSFORM WITH THE H-FUNCTION IN THE KERNEL IN THE SPACE OF SUMMABLE FUNCTIONS
Two-dimentional analog of modified H- transform involving H- function in the kernel is studied on the space of summable functions on a domain . Mapping properties such as the boundedness, the range of the considered transform are given, and the inversion formula is established. The results generalize the well know findings for corresponding one-dimentional integral transform.