An equivalence theorem for some integral conditions with general measures related to Hardy´s inequality

• It is proved that, besides the usual Muckenhoupt condition, there exist four different scales of conditions for characterizing the Hardy type inequality with general measures for the case 1<pq<∞. In fact, an even more general equivalence theorem of independent interest is proved and discussed.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

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

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

Nyckelord

Inequalities

Hardy's inequality

Discrete Hardy's inequality

Hardy operator

Hardy's inequality with general measures

Scales of characterizations

Weight functions

Weight sequences

Equivalent integral conditions

Comparisons

MATHEMATICS

MATEMATIK

Matematik

Publikations- och innehållstyp

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