Conjugate martingale transforms

Ferenc Weisz

Displaying similar documents to “Conjugate martingale transforms”

Inequalities relative to two-parameter Vilenkin-Fourier coefficients

Ferenc Weisz (1991)

Studia Mathematica

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Martingale operators and Hardy spaces generated by them

Ferenc Weisz (1995)

Studia Mathematica

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Martingale Hardy spaces and BMO spaces generated by an operator T are investigated. An atomic decomposition of the space $H_{p}^{T}$ is given if the operator T is predictable. We generalize the John-Nirenberg theorem, namely, we prove that the $B M O_{q}$ spaces generated by an operator T are all equivalent. The sharp operator is also considered and it is verified that the $L_{p}$ norm of the sharp operator is equivalent to the $H_{p}^{T}$ norm. The interpolation spaces between the Hardy and BMO spaces are identified by...

Schatten classes and commutators on simple martingales

J. Chao, Lizhong Peng (1996)

Colloquium Mathematicae

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A note on martingale transforms and $A_{p}$ -weights

Rodrigo Bañuelos (1987)

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On compact Ito's formulas for martingales of m .

María Jolis (1990)

Publicacions Matemàtiques

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We prove that the class m of continuous martingales with parameter set [0,1], bounded in L, is included in the class of semi-martingales S (L(P)) defined by Allain in [A]. As a consequence we obtain a compact Itô's formula. Finally we relate this result with the compact Itô formula obtained by Sanz in [S] for martingales of m .

Again on the weak law in martingale type p Banach spaces.

D. Hun Hong, M. Ordóñez Cabrera, S. Hak Sung, A. I. Volodin (1999)

Extracta Mathematicae

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On the class LlogL, martingales, and singular integrals

Richard Gundy (1969)

Studia Mathematica

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Abel means of operator-valued processes

G. Blower (1995)

Studia Mathematica

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Let $(X_{j})$ be a sequence of independent identically distributed random operators on a Banach space. We obtain necessary and sufficient conditions for the Abel means of $X_{n} . . . X_{2} X_{1}$ to belong to Hardy and Lipschitz spaces a.s. We also obtain necessary and sufficient conditions on the Fourier coefficients of random Taylor series with bounded martingale coefficients to belong to Lipschitz and Bergman spaces.

Attainable claims with p'th moments

F. Delbaen, W. Schachermayer (1996)

Annales de l'I.H.P. Probabilités et statistiques

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$(H_{p}, L_{p})$ -type inequalities for the two-dimensional dyadic derivative

Ferenc Weisz (1996)

Studia Mathematica

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It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space $H_{p, q}$ to $L_{p, q}$ (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type $(L_{1}, L_{1})$ . As a consequence we show that the dyadic integral of a ∞ function $f \in L_{1}$ is dyadically differentiable and its derivative is f a.e.