Embedding relations between local Hardy and modulation spaces
A sharp embedding relation between local Hardy spaces and modulation spaces is given.
Equivalence of norms in one-sided Hp spaces.
One-sided versions of maximal functions for suitable defined distributions are considered. Weighted norm equivalences of these maximal functions for weights in the Sawyer's Aq+ classes are obtained.
Errata of the paper “On the - boundedness of some fractional integral operators”
Erratum to "A class of Fourier multipliers on H¹(ℝ²)" (Studia Math. 140 (2000), 289-298)
Estimates for oscillatory singular integrals on Hardy spaces
For any n ∈ ℕ, we obtain a bound for oscillatory singular integral operators with polynomial phases on the Hardy space H¹(ℝⁿ). Our estimate, expressed in terms of the coefficients of the phase polynomial, establishes the H¹ boundedness of such operators in all dimensions when the degree of the phase polynomial is greater than one. It also subsumes a uniform boundedness result of Hu and Pan (1992) for phase polynomials which do not contain any linear terms. Furthermore, the bound is shown to be valid...