Lower bounds for Haar projections: deterministic examples

A. Benedek, A.-P. Calderón and R. Panzone. Convolution operators on Banach space valued functions. Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 356–365

1962

Earlier work this paper cites.

H. Triebel. Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen. Studia Math. 46 (1973), 83–100

1973

Earlier work this paper cites.

by same author. On Haar bases in Besov spaces. Serdica 4 (1978), no. 4, 330–343. Basel, 1983

1983

Earlier work this paper cites.

by same author. Theory of function spaces II

1992

Earlier work this paper cites.

V. S. Rychkov. On a theorem of Bui, Paluszyński and Taibleson. Proc. Steklov Inst., 227 (1999), 280–292

1999

Cited alongside, same era.

M. Christ and A. Seeger. Necessary conditions for vector-valued operator inequalities in harmonic analysis. Proc. London Math. Soc. (3) 93 (2006), no. 2, 447–473

2006

Cited alongside, same era.

by same author. Bases in function spaces, sampling, discrepancy, numerical integration

2010

Cited alongside, same era.

V. N. Temlyakov. Greedy approximation

2011

Later among the works it cites.

by same author. The role of smoothness 1 / 2 1/2 for Sobolev spaces. Problem session at the workshop “Discrepancy, Numerical Integration, and Hyperbolic Cross Approximation”, organized by V. N. Temlyakov, T. Ullrich, Sept. 2013, HCM Bonn

2013

Later among the works it cites.

A. Seeger, T. Ullrich. Haar projection numbers and failure of unconditional convergence in Sobolev spaces. ArXiv e-prints, 2015. arXiv:1507.01211 [math.CA]

Original

2015

Closest in time.