A characterisation of the Besov-Lipschitz and Triebel-Lizorkin spaces using Poisson like kernels

C.S. Herz, Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier transforms , J. Math. Mech. 18

1968

Earlier work this paper cites.

C. Fefferman and E.M. Stein, Some maximal inequalities , Amer. J. Math. 93

1971

Earlier work this paper cites.

by same author, H p {H}^{p} spaces of severable variables , Acta Math. 129

1972

Earlier work this paper cites.

N.J.H. Heideman, Duality and fractional integration in Lipschitz spaces , Studia Math. 50

1974

Earlier work this paper cites.

J. Peetre, On spaces of Triebel-Lizorkin type , Ark. Mat. 13

1975

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J. Bergh and J. Löfström, Interpolation spaces. An introduction , Springer-Verlag, Berlin, 1976, Grundlehren der Mathematischen Wissenschaften, no. 223

1976

Earlier work this paper cites.

by same author, New thoughts on Besov Spaces , Duke University Mathematics Series, Duke University, 1976

1976

Earlier work this paper cites.

H.-Q. Bui, Harmonic functions, Riesz potentials, and the Lipschitz spaces of Herz , Hiroshima Math. J. 9

1979

Earlier work this paper cites.

K. Yosida, Functional analysis , Classics in Mathematics, Springer-Verlag, Berlin, 1995, Reprint of the sixth (1980) edition

1980

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S. Janson and M.H. Taibleson, I teoremi di rappresentazione di Calderón , Rend. Sem. Mat. Univ. Politec. Torino 39

1981

Cited alongside, same era.

H.-Q. Bui, Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures , J. Funct. Anal. 55

1984

Cited alongside, same era.

H. Triebel, Characterizations of Besov-Hardy-Sobolev Spaces: A unified approach , J. Approx. Theory 52

1988

Cited alongside, same era.

J-O. Strömberg and A. Torchinsky, Weighted Hardy spaces , Lecture Notes in Mathematics, vol. 1381, Springer-Verlag, Berlin, 1989

1989

Cited alongside, same era.

G.B. Folland, Remainder estimates in Taylor’s theorem , Amer. Math. Monthly 97

1990

Cited alongside, same era.

H.-Q. Bui, M. Paluszyński, and M.H. Taibleson, A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces , Studia Math. 119

1996

Later among the works it cites.

by same author, Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces, the case q < 1 q<1 , J. Fourier Anal. Appl. 3

1997

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V.S. Rychkov, On a theorem of Bui, Paluszyński, and Taibleson , Tr. Mat. Inst. Steklova 227

1999

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H.-Q. Bui and M.H. Taibleson, The characterization of the Triebel-Lizorkin spaces for p = ∞ p=\infty , J. Fourier Anal. Appl. 6

2000

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A. van Essen, A study of the Calderón representation formula and its applications , Master’s thesis, University of Canterbury, 2005

2005

Later among the works it cites.