On inversion of H-Transform in $\text{eufb}{114}_{\nu ,r}$-space

The paper is devoted to study the inversion of the integral transform (\boldmath$H$f)(x)=\int^\infty_0H^{m,n}_{\thinspace p,q} \left[xt\left|\begin{array}{c}(a_i,\alpha_i)_{1,p}\\[1mm](b_j,\beta_j)_{1,q} \end{array}\right.\right]f(t)dt involving the $H$-function as the kernel in the space $\text{euf}{114}_{\nu ,r}$ of functions $f$ such that $${\int }_0^{\mathrm{\infty }}{\mid t^{\nu }f(t)\mid }^r\frac{dt}{t}<\mathrm{\infty }(1<r<\mathrm{\infty },\nu \in \text{msb}122)\mathrm{.}$$