Relations on hardy and Bergman spaces with a sharp estimate

الملخص EN

We show construction of the translating of the inequalities, from Hardy spaces to Bergman spaces and recover the original counterparts for Hardy spaces.

We specify a relation of the equality on the general Lp -space, and compute a special sharp estimate for the extrema of the best possible constant.

Key wards: Hardy inequalities, Hardy-Littlewood inequalities, Fejer-Riesz inequality and Best possible constant.