A multiplier in Besov spaces which is not a multiplier in Lebesgue spaces
A multiplier theorem for Fourier series in several variables
We define a new type of multiplier operators on , where is the N-dimensional torus, and use tangent sequences from probability theory to prove that the operator norms of these multipliers are independent of the dimension N. Our construction is motivated by the conjugate function operator on , to which the theorem applies as a particular example.
A multiplier theorem for Jacobi expansions
A multiplier theorem for the Hankel transform.
Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).
A Necessary Condition for Calderón-Zygmund Singular Integral Operators.
A new characterization of by John-Strömberg sharp maximal functions
Let be a nonnegative Radon measure on which only satisfies for all , , with some fixed constants and In this paper, a new characterization for the space of Tolsa in terms of the John-Strömberg sharp maximal function is established.
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces [Book]
A new of looking at distributional estimates; applications for the bilinear Hilbert transform.
Distributional estimates for the Carleson operator acting on characteristic functions of measurable sets of finite measure were obtained by Hunt. In this article we describe a simple method that yields such estimates for general operators acting on one or more functions. As an application we discuss how distributional estimates are obtained for the linear and bilinear Hilbert transform. These distributional estimates show that the square root of the bilinear Hilbert transform is exponentially lntegrable...
A New Proof of Certain Littlewood-Paley Inequalities.
A new proof of the support theorem and the range characterization for the Radon transform.
A new proof of weighted weak-type inequalities for fractional integrals
We give a new and simpler proof of a two-weight, weak inequality for fractional integrals first proved by Cruz-Uribe and Pérez [4].
A note on a conjecture of D. Oberlin
A note on a generalized hypersingular integral
A note on weights: Pasting weights and changing variables.
A note on decomposition of the distribution on BMO space.
A Note on Div-Curl Lemma
2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and which include as a particular case, the result of [3].
A note on fractional integration
A note on Gehring's lemma.
A note on interpolation and higher integrability.