Preface |
Acknowledgments |
Multi-Dimensional Dyadic Hardy Spaces / 1.: |
Introduction / 1.1: |
Martingales and dyadic Hardy spaces / 1.2: |
Inequalities with respect to Hardy spaces / 1.3: |
Atomic decomposition / 1.4: |
Interpolation between Hardy spaces / 1.5: |
Bounded operators on H[subscript p] / 1.6: |
Multi-Dimensional Classical Hardy Spaces / 2.: |
Distributions and Hardy spaces on R[superscript d] / 2.1: |
The atomic decomposition of H[superscript square subscript p] / 2.3: |
The atomic decomposition of H[subscript p] / 2.5: |
Interpolation between classical Hardy spaces / 2.6: |
Hardy spaces on T[superscript d] / 2.7: |
Summability of D-Dimensional Walsh-Fourier Series / 3.: |
(C, [alpha]) and Riesz summations / 3.1: |
Estimations of the (C, [alpha]) and Riesz kernels / 3.3: |
The boundedness of the maximal operators on L[subscript p] spaces / 3.4: |
The boundedness of the maximal operators on Hardy spaces / 3.5: |
Some weak type inequalities for the maximal operators / 3.6: |
Marcinkiewicz-Fejer summability of Walsh-Fourier series / 3.7: |
Vilenkin system / 3.8: |
The D-Dimensional Dyadic Derivative / 4.: |
The dyadic derivative and some estimations of the kernel function / 4.1: |
The boundedness of I* on L[subscript p] spaces / 4.3: |
The boundedness of I[subscript square] and I* on Hardy spaces / 4.4: |
Vilenkin derivative / 4.5: |
Summability of D-Dimensional Trigonometric-Fourier Series / 5.: |
[theta]-summability of Fourier series / 5.1: |
Some summability methods / 5.3: |
The boundedness of the maximal [theta]-operator on L[subscript p] spaces / 5.4: |
The boundedness of the maximal [theta]-operator on Hardy spaces / 5.5: |
Marcinkiewicz-Cesaro summability of trigonometric-Fourier series / 5.6: |
Summability of D-Dimensional Fourier Transforms / 6.: |
[theta]-summability / 6.1: |
Marcinkiewicz-[theta]-summability of Fourier transforms / 6.3: |
Spline and Ciesielski Systems / 7.: |
Hardy spaces and spline systems of higher order / 7.1: |
The boundedness of some operators on L[subscript p] spaces / 7.3: |
The boundedness of the maximal spline operators on Hardy spaces / 7.4: |
Unconditional bases in multi-dimensional Hardy spaces / 7.5: |
Bounded Ciesielski systems and Fejer kernels / 7.6: |
The boundedness of the maximal Fejer-Ciesielski operators on L[subscript p] spaces / 7.7: |
The boundedness of the maximal Fejer-Ciesielski operators on H[subscript p] spaces / 7.8: |
References / 7.9: |
Index |
Preface |
Acknowledgments |
Multi-Dimensional Dyadic Hardy Spaces / 1.: |
Introduction / 1.1: |
Martingales and dyadic Hardy spaces / 1.2: |
Inequalities with respect to Hardy spaces / 1.3: |