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Later Hardy and Littlewood Manuscripts

Later Hardy and Littlewood Manuscripts M. L. CARTWRIGHT CONTENTS 1. Introduction and statement of main theorems. Recent convergence results. 319 2. Convergence theorems for f e L , Kolmogorov and Seliverstov, Plessner and the maximal theorem of Jerosch. 322 3. Statement of the principal features of 'Max'. 323 4. Hardy's Oxford seminars on problems: — Cricket averages, generalization of Plessner, radial 'Max'. 326 5. Hardy's early letters on the Plessner problem. 329 6. Hardy's early letters on 'Max', and Paley's quotation of Hardy and Littlewood work using g{6); mapping of a sector using g{6) by Hardy and Zygmund. 334 7. Later Hardy and Littlewood letters about 'Max' in relation to the published version. 337 8. Paley's paper on 'Max'. 340 9. The Hardy-Littlewood paper on conjugate functions and relevant manuscripts. 342 10. Fractional Integrals II and relevant manuscripts. 347 11. General remarks about manuscripts relating to the Littlewood-Paley papers, (including Hardy statement about Paley's theorem). Remarks on ACT in relation to AJ{p ), and part of manuscript B2 i70 introducing Rademacher functions. 354 12. Continuation of B2i70 involving ±l(s — a), the Khintchine-Littlewood inequality, reference to Kolmogorov's gap convergence theorem and to MS<5 in §17. MS about <D (/) reference to Kac and the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Later Hardy and Littlewood Manuscripts

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/17.4.318
Publisher site
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Abstract

M. L. CARTWRIGHT CONTENTS 1. Introduction and statement of main theorems. Recent convergence results. 319 2. Convergence theorems for f e L , Kolmogorov and Seliverstov, Plessner and the maximal theorem of Jerosch. 322 3. Statement of the principal features of 'Max'. 323 4. Hardy's Oxford seminars on problems: — Cricket averages, generalization of Plessner, radial 'Max'. 326 5. Hardy's early letters on the Plessner problem. 329 6. Hardy's early letters on 'Max', and Paley's quotation of Hardy and Littlewood work using g{6); mapping of a sector using g{6) by Hardy and Zygmund. 334 7. Later Hardy and Littlewood letters about 'Max' in relation to the published version. 337 8. Paley's paper on 'Max'. 340 9. The Hardy-Littlewood paper on conjugate functions and relevant manuscripts. 342 10. Fractional Integrals II and relevant manuscripts. 347 11. General remarks about manuscripts relating to the Littlewood-Paley papers, (including Hardy statement about Paley's theorem). Remarks on ACT in relation to AJ{p ), and part of manuscript B2 i70 introducing Rademacher functions. 354 12. Continuation of B2i70 involving ±l(s — a), the Khintchine-Littlewood inequality, reference to Kolmogorov's gap convergence theorem and to MS<5 in §17. MS about <D (/) reference to Kac and the

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Jul 1, 1985

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