Differentiation of trigonometric series
On certain linear combinations of partial sums of Fourier series
Smoothness and differentiability in
Weighted variable integral inequalities for the maximal operator on non-increasing functions
Let be the Ariõ-Muckenhoupt weight class which controls the weighted -norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated -norm inequalities of the Hardy operator.
The one-sided minimal operator and the one-sided reverse Holder inequality
We introduce the one-sided minimal operator, , which is analogous to the one-sided maximal operator. We determine the weight classes which govern its two-weight, strong and weak-type norm inequalities, and show that these two classes are the same. Then in the one-weight case we use this class to introduce a new one-sided reverse Hölder inequality which has several applications to one-sided weights.
The maximal function on variable spaces.
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