MODIFIED H-TRANSFORMS IN £v,r-SPACES
Anatoly A. Kilbas, Megumi Saigo · Demonstratio Mathematica · 2000
The paper is devoted to study the integral transforms oo X 0 0 containing the if-function in the kernel, on the SpclC6 iLfi/^r (u € (-00,00); 1 ^ r ^ 00) of Lebesgue measurable functions / on (0, 00) such that 00 S dt \t"f(t)\ r -0 We show the boundedness, the representation, the range and the inversion formulas for the transform.