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- Riesz_rearrangement_inequality abstract "In mathematics, the Riesz rearrangement inequality (sometimes called Riesz-Sobolev inequality)states that for any three non-negative functions f,g,h, the integralsatisfies the inequalitywhere are the symmetric decreasing rearrangements of the functions f,g, and h, respectively.The inequality was first proved by Frigyes Riesz in 1930, and independently reproved by S.L.Sobolev in 1938. It can be generalized to arbitrarily (but finitely) many functions acting on arbitrarily many variables. In the case where any one of the three functions is a strictly symmetric-decreasing function, equality holds only when the other two functions are equal, up to translation, to their symmetric-decreasing rearrangements.".
- Riesz_rearrangement_inequality wikiPageID "39228990".
- Riesz_rearrangement_inequality wikiPageRevisionID "556549985".
- Riesz_rearrangement_inequality subject Category:Inequalities.
- Riesz_rearrangement_inequality subject Category:Real_analysis.
- Riesz_rearrangement_inequality comment "In mathematics, the Riesz rearrangement inequality (sometimes called Riesz-Sobolev inequality)states that for any three non-negative functions f,g,h, the integralsatisfies the inequalitywhere are the symmetric decreasing rearrangements of the functions f,g, and h, respectively.The inequality was first proved by Frigyes Riesz in 1930, and independently reproved by S.L.Sobolev in 1938. It can be generalized to arbitrarily (but finitely) many functions acting on arbitrarily many variables.".
- Riesz_rearrangement_inequality label "Riesz rearrangement inequality".
- Riesz_rearrangement_inequality sameAs m.0tkjnhf.
- Riesz_rearrangement_inequality sameAs Q17122926.
- Riesz_rearrangement_inequality sameAs Q17122926.
- Riesz_rearrangement_inequality wasDerivedFrom Riesz_rearrangement_inequality?oldid=556549985.
- Riesz_rearrangement_inequality isPrimaryTopicOf Riesz_rearrangement_inequality.