Selected papers of Antoni Zygmund, vol.3

Front Matter....Pages i-xxii
A note on the interpolation of linear operations....Pages 1-11
Polish Mathematics between the Two Wars (1919–39)....Pages 12-18
On the Existence of Certain Singular Integrals....Pages 19-73
Some Properties of Trigonometric Series Whose Terms have Random Signs....Pages 74-130
Singular integrals and periodic functions....Pages 131-153
Théorie des Ensembles. — Sur un théorème de Piatetçki-Shapiro ....Pages 154-156
On a Problem of Mihlin....Pages 157-172
Addenda to the Paper on a Problem of Mihlin ....Pages 173-174
A Note on the Interpolation of Sublinear Operations....Pages 175-181
On Singular Integrals....Pages 182-202
Algebras of Certain Singular Operators....Pages 203-213
On a theorem of Marcinkiewicz concerning interpolation of operations....Pages 214-239
Hilbert Transforms in E n ....Pages 240-251
On the Littlewood-Paley Function g* (θ)....Pages 252-256
Singular Integral Operators and Differential Equations....Pages 257-277
A Note on Smooth Functions....Pages 278-284
Local properties of solutions of elliptic partial differential equations....Pages 285-339
On the differentiability of functions....Pages 340-376
On higher gradients of harmonic functions....Pages 377-392
On the Fractional Differentiability of Functions....Pages 393-408
Boundedness of translation invariant operators on Hölder spaces and L p -spaces....Pages 409-421
On multipliers preserving convergence of trigonometric series almost everywhere....Pages 422-431
On Certain Lemmas of Marcinkiewicz and Carleson....Pages 432-440
A Cantor-Lebesgue theorem for double trigonometric series....Pages 441-446
A note on singular integrals....Pages 447-457