On Hardy-type inequalities and Hankel transforms

Monatshefte fur Mathematik

Volumn 127, Issue 4, 1999, Pages 311-319

  Kanjin, Yuichi ^a  

^a KANAZAWA UNIVERSITY   (Japan)

Author keywords

Hankel transforms; Hardy's inequalities

Indexed keywords

EID: 0007470539     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050042     Document Type: Article

References (13)

1. BOSANQUET LS et al (eds) (1969) Collected Papers of G. H. Hardy, Vol. III. London. Oxford Univ Press
2. CHANG DC, KRANTZ SG, STEIN EM (1992) Hardy spaces and elliptic boundary value problems. In: Proceedings of the Madison Symposium on Complex Analysis. Contemporary Math 137, 119-131. Providence, RI: Amer Math Soc
3. COIFMAN RR, WEISS G (1977) Extensions of Hardy spaces and their use in analysis, Bull Amer Math Soc 83: 569-645
4. FORSMAN K (1988) Atomic decompositions in Hardy spaces on bounded Lipschitz domains. In: Function Spaces and Applications (Lund, 1986), pp 206-222. Lect Notes Math 1302. Berlin-Heidelberg, New York: Springer
5. GARCIA-CUERVA J, RUBIO DE FRANCIA JL (1985) Weighted Norm Inequalities and Related Topics. Amsterdam: North-Holland
6. n. Studia Math 80: 141-166
7. KANJIN Y (1997) Hardy's inequalities for Hermite and Laguerre expansions. Bull London Math Soc 29: 331-337
8. MITRINOVIĆ DS, PEČARIĆ JE, FINK AM (1991) Inequalities Involving Functions and Their Integrals and Derivatives. Dordrecht: Kluwer
9. n. Studia Math 95: 205-228
10. MIYACHI A (1977) Private communication
11. SCHINDLER S (1973) Explicit integral transform proofs of some transplantation theorems for the Hankel transform. SIAM J Math Anal 4: 367-384
12. STEIN EM (1993) Harmonic Analysis, Real-Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton: Univ Press
13. WATSON GN (1966) A Treatise on the Theory of Bessel Functions. Cambridge: Cambridge Univ Press