Details

Autor(en) / Beteiligte

• Stepanov, V.D
• Ushakova, E.P

Titel

On boundedness of a certain class of Hardy--Steklov type operators in Lebesgue spaces

Ist Teil von

• Banach journal of mathematical analysis, 2010-01, Vol.4 (1), p.28-52

Ort / Verlag

Durham: Springer

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• [L.sub.p]-[L.sub.q]-boundedness of the map f [right arrow] w(x) [[integral].sup.b(x).sub.a(x)] k(x, y)f(y)v(y)dy is described by different types of criteria expressed in terms of given parameters 0 < p, q < [infinity], strictly increasing boundaries a(x) and b(x), locally integrable weight functions v, w and a positive continuous kernel k(x, y) satisfying some growth conditions. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 26D15, 26D07. Key words and phrases. Integral operators, Lebesgue spaces, weights, boundedness.