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 new technique to estimate the regularity of refinable functions.
We study the regularity of refinable functions by analyzing the spectral properties of special operators associated to the refinement equation; in particular, we use the Fredholm determinant theory to derive numerical estimates for the spectral radius of these operators in certain spaces. This new technique is particularly useful for estimating the regularity in the cases where the refinement equation has an infinite number of nonzero coefficients and in the multidimensional cases.
A note on a conjecture of D. Oberlin
A note on a generalized hypersingular integral
A note on a one-parameter family of Catalan-like numbers.
A note on weights: Pasting weights and changing variables.
A note on a result of Bateman and Chowla
A note on a theorem of Boas
A note on a Theorem of Ermakov
A note on certain partial sum operators
We show that for the t-deformed semicircle measure, where 1/2 < t ≤ 1, the expansions of functions with respect to the associated orthonormal polynomials converge in norm when 3/2 < p < 3 and do not converge when 1 ≤ p < 3/2 or 3 < p. From this we conclude that natural expansions in the non-commutative spaces of free group factors and of free commutation relations do not converge for 1 ≤ p < 3/2 or 3 < p.
A note on comprehensive backward biorthogonalization.
A note on convergence to infinity of Fourier series
A note on d'Alembert's functional equation
A note on decomposition of the distribution on BMO space.
A note on degree of approximation by Nörlund and Riesz operators
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 Fourier coefficients
A note on fractional integration
A note on fusion Banach frames
For a fusion Banach frame for a Banach space , if is a fusion Banach frame for , then is called a fusion bi-Banach frame for . It is proved that if has an atomic decomposition, then also has a fusion bi-Banach frame. Also, a sufficient condition for the existence of a fusion bi-Banach frame is given. Finally, a characterization of fusion bi-Banach frames is given.
A note on Gehring's lemma.