Atomic decompositions of weighted Hardy-Morrey spaces

Weighted Hardy and singular operators in Morrey spaces

We study the weighted boundedness of the Cauchy singular integral operator SΓ in Morrey spaces L(Γ) on curves satisfying the arc-chord condition, for a class of ”radial type” almost monotonic weights. The non-weighted boundedness is shown to hold on an arbitrary Carleson curve. We show that the weighted boundedness is reduced to the boundedness of weighted Hardy operators in Morrey spaces L(0, ...

ATOMIC DECOMPOSITIONS FOR WEAK HARDY SPACES WQp AND WDp

In this paper some necessary and sufficient conditions for new forms of atomic decompositions of weak martingale Hardy spaces wQp and wDp are obtained.

Extension of Hardy Inequality on Weighted Sequence Spaces

Let and be a sequence with non-negative entries. If , denote by the infimum of those satisfying the following inequality: whenever . The purpose of this paper is to give an upper bound for the norm of operator T on weighted sequence spaces d(w,p) and lp(w) and also e(w,?). We considered this problem for certain matrix operators such as Norlund, Weighted mean, Ceasaro and Copson ma...

Generalized composition operators on weighted Hardy spaces

Embeddings of Weighted Morrey