THE TWO-WEIGHT HARDY INEQUALITY: A NEW ELEMENTARY AND UNIVERSAL PROOF
Gogatishvili A. Pick L.
July 2025American Mathematical Society
Proceedings of the American Mathematical Society
2025#153Issue 72875 - 2883 pp.
We give a new proof of the known criteria for the inequality (∫ 0∞( ∫0t f )q w(t) dt ) q1 ≤ C (∫ 0∞ fpv ) p1 . The innovation is in the elementary nature of the proof and its versatility.
elementary proof , Two-weight Hardy inequality , universal
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Institute of Mathematics of the Czech Academy of Sciences, Žitná 25, Praha 1, 115 67, Czech Republic
L. N. Gumilyov Eurasian National University, 5 Munaytpasov St., Nur-Sultan, 010008, Kazakhstan
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Praha 8, 186 75, Czech Republic
Institute of Mathematics of the Czech Academy of Sciences
L. N. Gumilyov Eurasian National University
Department of Mathematical Analysis
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