Variation bounds for spherical averages
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David Beltran | Luz Roncal | Richard Oberlin | Andreas Seeger | Betsy Stovall | L. Roncal | A. Seeger | Betsy Stovall | R. Oberlin | David Beltran
[2] D. Lépingle,et al. La variation d'ordre p des semi-martingales , 1976 .
[3] Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates , 1999, math/9909066.
[4] F. Nazarov,et al. Radial Fourier multipliers in high dimensions , 2009, 0902.0943.
[5] Elias M. Stein,et al. Harmonic Analysis (PMS-43), Volume 43: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) , 1993 .
[6] Wilhelm Schlag,et al. LOCAL SMOOTHING ESTIMATES RELATED TO THE CIRCULAR MAXIMAL THEOREM , 1997 .
[7] Gilles Pisier,et al. The strongp-variation of martingales and orthogonal series , 1988 .
[8] Sanghyuk Lee,et al. Endpoint estimates for the circular maximal function , 2002 .
[9] Sanghyuk Lee,et al. Square function estimates for the Bochner-Riesz means , 2017, 1708.01084.
[10] Sanghyuk Lee,et al. Improved bounds for Stein's square functions , 2010, 1012.2159.
[11] E. Stein,et al. Hp spaces of several variables , 1972 .
[12] F. Bernicot,et al. Sharp weighted norm estimates beyond Calderón–Zygmund theory , 2015, 1510.00973.
[13] T. Tao,et al. A variation norm Carleson theorem , 2009, 0910.1555.
[14] Sanghyuk Lee,et al. SQUARE FUNCTIONS AND MAXIMAL OPERATORS ASSOCIATED WITH RADIAL FOURIER MULTIPLIERS , 2012, 1207.6582.
[15] H. Triebel. Theory Of Function Spaces , 1983 .
[16] E. Stein,et al. Jump inequalities for translation-invariant operators of Radon type on $\mathbb{Z}^d$ , 2018, 1809.03803.
[17] A. Carbery,et al. Classes of singular integral operators along variable lines , 1999 .
[18] J. Roos,et al. Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem , 2017, Analysis & PDE.
[19] M. Leckband. A note on the spherical maximal operator for radial functions , 1987 .
[20] Roger L. Jones,et al. Oscillation in ergodic theory , 1998, Ergodic Theory and Dynamical Systems.
[21] Jöran Bergh,et al. Interpolation Spaces: An Introduction , 2011 .
[22] M. Lacey. Sparse bounds for spherical maximal functions , 2017, Journal d'Analyse Mathématique.
[23] J. Bourgain,et al. The proof of the $l^2$ Decoupling Conjecture , 2014, 1403.5335.
[24] A. Calderón. Intermediate spaces and interpolation, the complex method , 1964 .
[25] Charles Fefferman,et al. A note on spherical summation multipliers , 1973 .
[26] E. Stein,et al. A bootstrapping approach to jump inequalities and their applications , 2018, 1808.09048.
[27] T. Tao,et al. ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS , 2002, Journal of the Institute of Mathematics of Jussieu.
[28] Roger L. Jones,et al. Strong variational and jump inequalities in harmonic analysis , 2008 .
[29] E. Stein,et al. Jump inequalities for translation-invariant operators of Radon type on Zd , 2018, Advances in Mathematics.
[30] A. Carbery. The boundedness of the maximal Bochner-Riesz operator on $L^4(\mathbf{R}^2)$ , 1983 .
[31] W. Schlag. A generalization of Bourgain’s circular maximal theorem , 1997 .
[32] Jinghua Qian. The P-variation of partial sum processes and the empirical process , 1998 .
[33] E. Stein,et al. L^p(Z^d)-estimates for discrete operators of Radon type: Variational estimates , 2015, 1512.07523.
[34] C. Sogge. Propagation of singularities and maximal functions in the plane , 1991 .
[35] E. Stein,et al. Jump inequalities via real interpolation , 2018, Mathematische Annalen.
[36] A. Seeger,et al. Endpoint maximal and smoothing estimates for Schrödinger equations , 2008, 0810.4651.
[37] M. Christ,et al. On almost everywhere convergence of Bochner-Riesz means in higher dimensions , 1985 .
[38] E. Stein. Singular Integrals and Di?erentiability Properties of Functions , 1971 .
[39] A. Seeger. On quasiradial Fourier multiplier and their maximal functions. , 1986 .
[40] W. Linde,et al. Compactness properties of weighted summation operators on trees - the critical case , 2010, 1009.2339.
[41] A. Seeger,et al. Multi-scale sparse domination , 2020, 2009.00227.
[42] E. Stein. Maximal functions: Spherical means. , 1976, Proceedings of the National Academy of Sciences of the United States of America.
[43] J. Bourgain. Pointwise ergodic theorems for arithmetic sets , 1989 .
[44] J. Bourgain. Averages in the plane over convex curves and maximal operators , 1986 .
[45] E. Stein,et al. $$\ell ^p\left( \mathbb {Z}^d\right) $$ℓpZd-estimates for discrete operators of Radon type: variational estimates , 2017 .
[46] L. Hörmander,et al. Estimates for translation invariant operators inLp spaces , 1960 .
[47] G. Sunouchi,et al. ON THE LITTLEWOOD-PALEY AND MARCINKIEWICZ FUNCTIONS IN HIGHER DIMENSIONS , 1985 .