Singular integrals on product HP spaces.
Singular integrals on Sierpinski gaskets .
Singular integrals on the complex affine group
Singular integrals with highly oscillating kernels on product spaces
We prove the boundedness of the oscillatory singular integrals for arbitrary real-valued functions and for rather general domains whose dependence upon x satisfies no regularity assumptions.
Singular integrals with highly oscillating kernels on the product domains
Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves
The paper presents a theory of Fourier transforms of bounded holomorphic functions defined in sectors. The theory is then used to study singular integral operators on star-shaped Lipschitz curves, which extends the result of Coifman-McIntosh-Meyer on the -boundedness of the Cauchy integral operator on Lipschitz curves. The operator theory has a counterpart in Fourier multiplier theory, as well as a counterpart in functional calculus of the differential operator 1/i d/dz on the curves.
Singular kernels supported by homogeneous submanifolds.
Singular Radon transforms and maximal functions under convexity assumptions.
We prove variable coefficient analogues of results in [5] on Hilbert transforms and maximal functions along convex curves in the plane.
Singular values of trilinear forms.
Singuläre Integrale mit gemsichten Homogenitäten auf Mannigfaltigkeiten und Anwendungen in der Funktionentheorie.
Singularities in Muckenhoupt weighted function spaces
We study weighted function spaces of Lebesgue, Besov and Triebel-Lizorkin type where the weight function belongs to some Muckenhoupt class. The singularities of functions in these spaces are characterised by means of envelope functions.
Singularity and regularity -- local and global.
Size properties of wavelet packets generated using finite filters.
Skew-orthogonal polynomials of a discrete variable.
Small sets in the support of a Fourier-Stieltjes transform
Smooth Local Sinusodial Bases on Two-Dimensional L-Shaped Regions.
Smooth rough paths and applications to Fourier analysis.
Smoothing Minimally Supported Frequency Wavelets. Part I.
Smoothing Minimally Suppprted Frequency Wavelets: Part II.
Sobolev embeddings for variable exponent Riesz potentials on metric spaces.