Some new Hardy type inequalities with general kernels

• We state and prove some new weighted Hardy type inequalities with an integral operator A(k) defined by A(k)f(x) := 1/K(x) integral(Omega 2) k(x,y)f(y)d mu(2) (y), where k : Omega(1) x Omega(2) --> R is a general nonnegative kernel, (Omega(1), mu(1)) and (Omega(2), mu(2)) are measure spaces and K(x) := integral(Omega 2) k(x,y)d mu(2) (y), x is an element of Omega(1). In particular, the obtained results unify and generalize most of the results of this type (including the classical ones by Hardy, Hilbert and Godunova).

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

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Matematik

Mathematics

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