Bounded orthogonal systems and the Λ(p)-set problem

Jean Bourgain

Type: Article

Publication Date: 1989-01-01

Citations: 115

DOI: https://doi.org/10.1007/bf02392838

Abstract

Observe that the size n ~p is optimal.Indeed, if one considers for instance a finite Cantor group G={I,-1} k and let ~=G*, the space LPs(G) is a Hilbertian subspace of

Locations

Acta Mathematica - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Finite dimensional subspaces of $L_{p}$	1978	Debra Lewis
+	Cantor set problems	2007	Dennis J. Garity Dušan Repovš
+	On certain “empty” cantor sets and their dimensions	1994	Μ.S. El Naschie
+	Orthogonal bases for LP spaces	1971	S. F. Gerasimov
+ PDF Chat	Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes $S_{p}$	1980	Nicole Tomczak-Jaegermann
+	Sum-of-Squares Orthogonality and Complete Sets	2003	Walter T. Fédérer
+	Greedy bases in L p spaces	2013	К. С. Казарян Vladimir Temlyakov
+	On the Cardinality of a Compact T 1 Space	1987	Angelo Bella
+	On the controlled separable projection property for some C(K) spaces	2009	J. Ferrer
+ PDF Chat	A boundedness condition for sets with lattice point constraints	1983	P. R. Scott
+	Lp-spaces	2006
+	Lp-spaces	1999	Charalambos D. Aliprantis Kim C. Border
+	Lp-spaces	2020	W. Filter K. Weber
+	Lp-Spaces	2018	Rajnikant Sinha
+ PDF Chat	Analysis of Basis Pursuit via Capacity Sets	2008	Joseph Shtok Michael Elad
+	On dimensions of Cantor set related systems	1993	Μ.S. El Naschie
+	The Construction of Orthogonal and Quasi-Orthogonal Number Sets	1965	H. W. Gould
+	The Construction of Orthogonal and Quasi-Orthogonal Number Sets	1965	H. W. Gould
+	Boundless spaces	2018	P. J. Cain
+	Appendix B. Lp-spaces	2012

Works That Cite This (100)

Action	Title	Year	Authors
+	Последовательности независимых функций и структура симметричных пространств	2024	С. В. Асташкин
+ PDF Chat	Sampling discretization and related problems	2022	Борис Сергеевич Кашин Egor D. Kosov Irina Viktorovna Limonova Vladimir Temlyakov
+	Subgaussian Kahane-Salem-Zygmund inequalities in Banach spaces	2020	Andreas Defant Mieczysław Mastyło
+ PDF Chat	Characterizations of Hankel multipliers	2008	Gustavo Garrigós Andreas Seeger
+ PDF Chat	Decoupling and Near-optimal Restriction Estimates for Cantor Sets	2016	Izabella Łaba Hong Wang
+	Restriction and Kakeya phenomena for finite fields	2002	Gerd Mockenhaupt Terence Tao
+	Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems	2020	Борис Сергеевич Кашин Irina Viktorovna Limonova
+	Applications to Banach Space Theory	1991	Michel Ledoux Michel Talagrand
+ PDF Chat	On the Hardy–Littlewood majorant problem for random sets	2008	Gerd Mockenhaupt Wilhelm Schlag
+ PDF Chat	On the structure of sets of large doubling	2011	Allison Lewko Mark Lewko

Works Cited by This (8)

Action	Title	Year	Authors
+	On kolmogorov's rearrangement problem for orthogonal systems and garsia's conjecture	2006	Jean Bourgain
+	Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.	1970	Elias M. Stein
+	On Subspaces of L p	1973	Haskell P. Rosenthal
+ PDF Chat	Approximation of zonoids by zonotopes	1989	Jean Bourgain Joram Lindenstrauss Vitali Milman
+ PDF Chat	The dimension of almost spherical sections of convex bodies	1977	T. Figiel Joram Lindenstrauss Vitali Milman
+	On uncomplemented subspaces ofL p , 1 <p <2	1977	Grahame Bennett Leonard E. Dor Victor Goodman William B. Johnson Charles M. Newman
+ PDF Chat	Trigonometric Series with Gaps	1960	Walter Rudin
+	Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)	1970	Elias M. Stein