{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":39,"n_cols":5,"rows_kept":39,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[9,2,9,3],[10,2,10,3],[11,2,11,3],[12,2,12,3],[16,2,16,3],[16,4,16,5],[17,2,17,3],[17,4,17,5],[18,2,18,3],[18,4,18,5],[19,2,19,3],[21,2,21,3],[22,2,22,3],[23,2,23,3],[24,2,24,3],[31,2,31,3],[32,2,32,3],[35,2,35,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA990002901230403321"]
[null,null,"Autore",null,"Istat"]
[null,null,"Titolo",null,"La vita quotidiana nel 1997 : indagine multiscopo sulle famigle : aspetti della vita quotidiana : anno 1997 / Istituto Nazionale di Statistica"]
[null,null,"Pubbl/distr/stampa",null,"Roma, : Istat, 1999"]
[null,null,"ISBN",null,"88-458-0199-3"]
[null,null,"Descrizione fisica",null,"287 p. ; 30 cm + 2 floppy disk"]
[null,null,"Collana",null,"Informazioni / Istat ; 12"]
[null,null,"Disciplina",null,"306.85"]
[{"$nulls":4},"306.402 1"]
[null,null,"Locazione",null,"MAS"]
[null,null,"Collocazione",null,"CDI-I-12-99-Pos-2"]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","In testa al frontespizio: \"Sistema statistico nazionale. Istituto Nazionale di Statistica\""]
[{"$nulls":4},"Contiene bibl., abbreviazioni dei tit. dei periodici e lemmario."]
[null,"2.","Record Nr.",null,"UNISA996499865803316"]
[null,null,"Autore",null,"Persson Lars-Erik <1949->"]
[null,null,"Titolo",null,"Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Birkhäuser, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"3-031-14459-7"]
[null,null,"Descrizione fisica",null,"1 online resource (633 pages)"]
[null,null,"Disciplina",null,"515.2433"]
[null,null,"Soggetti",null,"Fourier series"]
[{"$nulls":4},"Hardy spaces"]
[{"$nulls":4},"Martingales (Mathematics)"]
[{"$nulls":4},"Sèries de Fourier"]
[{"$nulls":4},"Espais de Hardy"]
[{"$nulls":4},"Martingales (Matemàtica)"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- How to Read the Book? -- Acknowledgements -- Contents -- 1 Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces -- 1.1 Introduction -- 1.2 Vilenkin Groups and Functions -- 1.3 The Representation of the Vilenkin Groups on the Interval [0,1) -- 1.4 Convex Functions and Classical Inequalities -- 1.5 Lebesgue Spaces -- 1.6 Dirichlet Kernels -- 1.7 Lebesgue Constants -- 1.8 Vilenkin-Fourier Coefficients -- 1.9 Partial Sums -- 1.10 Final Comments and Open Questions -- 2 Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series -- 2.1 Introduction -- 2.2 Conditional Expectation Operators -- 2.3 Martingales and Maximal Functions -- 2.4 Calderon-Zygmund Decomposition -- 2.5 Almost Everywhere Convergence of Vilenkin-Fourier Series -- 2.6 Almost Everywhere Divergence of Vilenkin-Fourier Series -- 2.7 Final Comments and Open Questions -- 3 Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces -- 3.1 Introduction -- 3.2 Vilenkin-Fejér Kernels -- 3.3 Approximation of Vilenkin-Fejér Means -- 3.4 Almost Everywhere Convergence of Vilenkin- Fejér Means -- 3.5 Approximate Identity -- 3.6 Final Comments and Open Questions -- 4 Nörlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces -- "]
[{"$nulls":4},"4.1 Introduction -- 4.2 Well-Known and New Examples of Nörlund and TMeans -- 4.3 Regularity of Nörlund and T Means -- 4.4 Kernels of Nörlund Means -- 4.5 Kernels of T Means -- 4.6 Norm Convergence of Nörlund and T Means in Lebesgue Spaces -- 4.7 Almost Everywhere Convergence of Nörlund and T Means -- 4.8 Convergence of Nörlund and T Means in Vilenkin-Lebesgue Points -- 4.9 Riesz and Nörlund Logarithmic Kernels and Means -- 4.10 Final Comments and Open Questions -- 5 Theory of Martingale Hardy Spaces -- 5.1 Introduction -- 5.2 Martingale Hardy Spaces and Modulus of Continuity."]
[{"$nulls":4},"5.3 Atomic Decomposition of the Martingale Hardy Spaces Hp -- 5.4 Interpolation Between Hardy Spaces Hp -- 5.5 Bounded Operators on Hp Spaces -- 5.6 Examples of p-Atoms and Hp Martingales -- 5.7 Final Comments and Open Questions -- 6 Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces -- 6.1 Introduction -- 6.2 Estimations of Vilenkin-Fourier Coefficients in Hp Spaces -- 6.3 Hardy and Paley Type Inequalities in Hp Spaces -- 6.4 Maximal Operators of Partial Sums on Hp Spaces -- 6.5 Convergence of Partial Sums in Hp Spaces -- 6.6 Convergence of Subsequences of Partial Sums in Hp Spaces -- 6.7 Strong Convergence of Partial Sums in Hp Spaces -- 6.8 Final Comments and Open Questions -- 7 Vilenkin-Fejér Means in Martingale Hardy Spaces -- 7.1 Introduction -- 7.2 Maximal Operator of Vilenkin-Fejér Means on Hp Spaces -- 7.3 Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.4 Convergence of Subsequences of Vilenkin-Fejér Means in Hp Spaces -- 7.5 Strong Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.6 Final Comments and Open Questions -- 8 Nörlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces -- 8.1 Introduction -- 8.2 Maximal Operators of Nörlund Means on Hp Spaces -- 8.3 Maximal Operators of T Means on Hp Spaces -- 8.4 Strong Convergence of Nörlund Means in Hp Spaces -- 8.5 Strong Convergence of T Means in Hp Spaces -- 8.6 Maximal Operators of Riesz and Nörlund Logarithmic Means on Hp Spaces -- 8.7 Strong Convergence of Riesz and Nörlund Logarithmic Means in Hp Spaces -- 8.8 Final Comments and Open Questions -- 9 Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces -- 9.1 Introduction -- 9.2 Variable Lebesgue Spaces -- 9.3 Doob's Inequality in Variable Lebesgue Spaces -- 9.4 The Maximal Operator Us -- 9.5 The Maximal Operator Vα,s -- 9.6 Variable Martingale Hardy Spaces."]
[{"$nulls":4},"9.7 Atomic Decomposition of Variable Hardy Spaces -- 9.8 Martingale Inequalities in Variable Spaces -- 9.9 Partial Sums of Vilenkin-Fourier Series in Variable Lebesgue Spaces -- 9.10 The Maximal Fejér Operator on Hp(·) -- 9.11 Final Comments and Open Questions -- 10 Appendix: Dyadic Group and Walsh and Kaczmarz Systems -- 10.1 Introduction -- 10.2 Walsh Group and Walsh and Kaczmarz Systems -- 10.3 Estimates of the Walsh-Fejér Kernels -- 10.4 Walsh-Fejér Means in Hp -- 10.5 Modulus of Continuity in Hp and Walsh-Fejér Means -- 10.6 Riesz and Nörlund Logarithmic Means in Hp -- 10.7 Maximal Operators of Kaczmarz-Fejér Means on Hp -- 10.8 Modulus of Continuity in Hp and Kaczmarz-Fejér Means -- 10.9 Final Comments and Open Questions -- References -- Notations -- Index."]