Displaying similar documents to “Fourier analysis, Schur multipliers on S p and non-commutative Λ(p)-sets”

Isomorphism of certain weak L p spaces

Denny Leung (1993)

Studia Mathematica

Similarity:

It is shown that the weak L p spaces ℓ p , ∞ , L p , ∞ [ 0 , 1 ] , and L p , ∞ [ 0 , ∞ ) are isomorphic as Banach spaces.

A class of Fourier multipliers on H¹(ℝ²)

Michał Wojciechowski (2000)

Studia Mathematica

Similarity:

An integral criterion for being an H 1 ( ℝ 2 ) Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.

Spectral decompositions and harmonic analysis on UMD spaces

Earl Berkson, T. Gillespie (1994)

Studia Mathematica

Similarity:

We develop a spectral-theoretic harmonic analysis for an arbitrary UMD space X. Our approach utilizes the spectral decomposability of X and the multiplier theory for L X p to provide on the space X itself analogues of the classical themes embodied in the Littlewood-Paley Theorem, the Strong Marcinkiewicz Multiplier Theorem, and the M. Riesz Property. In particular, it is shown by spectral integration that classical Marcinkiewicz multipliers have associated transforms acting on X. ...