"Journal of Analysis and its Applications" . "4" . . . "30" . . "Hardy averaging operator, optimal target and domain spaces, associate spaces, discretization, Banach lattice, weights, weighted spaces, variable-exponent spaces"@en . "Duals of optimal spaces for the Hardy averaging operator"@en . "Pick, L." . . "The Hardy averaging operator $Af(x):=\\\\frac1x\\\\int_0\\\\sp x f(t)\\\\,dt$ is known to map boundedly the `source\\' space $S^p$ of functions on $(0,1)$ with finite integral $\\\\int_0^1 \\\\esup_{t\\\\in(x,1)}\\\\frac1{t}\\\\int_0^t |f|^p dx$ into the `target\\' space $T^p$ of functions on $(0,1)$ with finite integral $\\\\int_0^1 \\\\esup_{t\\\\in(x,1)}|f(t)|^p dx$ whenever $1 . "0232-2064" . . . . . . . "2"^^ . . . . "RIV/68407700:21110/11:00189750" . "Duals of optimal spaces for the Hardy averaging operator" . "22"^^ . "Duals of optimal spaces for the Hardy averaging operator" . "[84C8C8138208]" . . "1"^^ . "21110" . . . . "The Hardy averaging operator $Af(x):=\\\\frac1x\\\\int_0\\\\sp x f(t)\\\\,dt$ is known to map boundedly the `source\\' space $S^p$ of functions on $(0,1)$ with finite integral $\\\\int_0^1 \\\\esup_{t\\\\in(x,1)}\\\\frac1{t}\\\\int_0^t |f|^p dx$ into the `target\\' space $T^p$ of functions on $(0,1)$ with finite integral $\\\\int_0^1 \\\\esup_{t\\\\in(x,1)}|f(t)|^p dx$ whenever $1 "000298442900004" . . "Duals of optimal spaces for the Hardy averaging operator"@en . "P(GA201/07/0388), P(GA201/08/0383), Z(MSM0021620839), Z(MSM6840770010)" . . . "RIV/68407700:21110/11:00189750!RIV12-MSM-21110___" . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "Nekvinda, Ale\u0161" . . . "195557" . . .