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Generalized Herglotz theorem in vector lattices

Miloslav Duchoň (1996)

Mathematica Slovaca

Generalized Hölder type spaces of harmonic functions in the unit ball and half space

Alexey Karapetyants, Joel Esteban Restrepo (2020)

Czechoslovak Mathematical Journal

We study spaces of Hölder type functions harmonic in the unit ball and half space with some smoothness conditions up to the boundary. The first type is the Hölder type space of harmonic functions with prescribed modulus of continuity $ω = ω (h)$ and the second is the variable exponent harmonic Hölder space with the continuity modulus ${| h |}^{λ (\cdot)}$ . We give a characterization of functions in these spaces in terms of the behavior of their derivatives near the boundary.

Generalized Hörmander conditions and weighted endpoint estimates

María Lorente, José María Martell, Carlos Pérez, María Silvina Riveros (2009)

Studia Mathematica

We consider two-weight estimates for singular integral operators and their commutators with bounded mean oscillation functions. Hörmander type conditions in the scale of Orlicz spaces are assumed on the kernels. We prove weighted weak-type estimates for pairs of weights (u,Su) where u is an arbitrary nonnegative function and S is a maximal operator depending on the smoothness of the kernel. We also obtain sufficient conditions on a pair of weights (u,v) for the operators to be bounded from $L^{p} (v)$ to...

Generalized Levy representation of norms and isometric embeddings into $L_{p}$ -spaces

Alexander L. Koldobsky (1992)

Annales de l'I.H.P. Probabilités et statistiques

Generalized Morrey spaces associated to Schrödinger operators and applications

Nguyen Ngoc Trong, Le Xuan Truong (2018)

Czechoslovak Mathematical Journal

We first introduce new weighted Morrey spaces related to certain non-negative potentials satisfying the reverse Hölder inequality. Then we establish the weighted strong-type and weak-type estimates for the Riesz transforms and fractional integrals associated to Schrödinger operators. As an application, we prove the Calderón-Zygmund estimates for solutions to Schrödinger equation on these new spaces. Our results cover a number of known results.

Generalized Multi-Resolution Analyses and a Construction Procedure for All Wavelet Sets in ...

L.W. Bagget, H.A. Medina, K. Merrill (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Generalized Riesz products produced from orthonormal transforms

Nikolaos Atreas, Antonis Bisbas (2012)

Colloquium Mathematicae

Let $ℳ_{p} = {m_{k}}_{k = 0}^{p - 1}$ be a finite set of step functions or real valued trigonometric polynomials on = [0,1) satisfying a certain orthonormality condition. We study multiscale generalized Riesz product measures μ defined as weak-* limits of elements $μ_{N} \in V_{N} (N \in ℕ)$ , where $V_{N}$ are $p^{N}$ -dimensional subspaces of L₂() spanned by an orthonormal set which is produced from dilations and multiplications of elements of $ℳ_{p}$ and $\bar{⋃_{N \in ℕ} V_{N}} = L ₂ ()$ . The results involve mutual absolute continuity or singularity of such Riesz products extending previous results on...

Generalized Rudin-Shapiro Systems.

George Benke (1994/1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Generalized Schauder frames

S.K. Kaushik, Shalu Sharma (2014)

Archivum Mathematicum

Schauder frames were introduced by Han and Larson [9] and further studied by Casazza, Dilworth, Odell, Schlumprecht and Zsak [2]. In this paper, we have introduced approximative Schauder frames as a generalization of Schauder frames and a characterization for approximative Schauder frames in Banach spaces in terms of sequence of non-zero endomorphism of finite rank has been given. Further, weak* and weak approximative Schauder frames in Banach spaces have been defined. Finally, it has been proved...

Generalized Strichartz Inequalities for the Wave Equation on the Laguerre Hypergroup

Assal, Miloud, Ben Abdallah, Hacen (2004)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 42B35, 35L35, 35K35In this paper we study generalized Strichartz inequalities for the wave equation on the Laguerre hypergroup using generalized homogeneous Besov-Laguerre type spaces.

Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey.

Rodríguez, José M., Álvarez, Venancio, Romera, Elena, Pestana, Domingo (2006)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Generating new classes of orthogonal polynomials.

Branquinho, Amílcar, Marcellán, Francisco (1996)

International Journal of Mathematics and Mathematical Sciences

Generating some semiclassical orthogonal polynomials.

Sghaier, Mabrouk (2009)

Applied Mathematics E-Notes [electronic only]

Geodesics in the Heisenberg Group

Piotr Hajłasz, Scott Zimmerman (2015)

Analysis and Geometry in Metric Spaces

We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from the center of the group.

Geometric and approximation properties of some singular integrals in the unit disk.

Anastassiou, George A., Gal, Sorin G. (2006)

Journal of Inequalities and Applications [electronic only]

Geometric Fourier analysis

Antonio Cordoba (1982)

Annales de l'institut Fourier

In this paper we continue the study of the Fourier transform on $R^{n}$ , $n \geq 2$ , analyzing the “almost-orthogonality” of the different directions of the space with respect to the Fourier transform. We prove two theorems: the first is related to an angular Littlewood-Paley square function, and we obtain estimates in terms of powers of $log (N)$ , where $N$ is the number of equal angles considered in $R^{2}$ . The second is an extension of the Hardy-Littlewood maximal function when one consider cylinders of $R^{n}$ , $n \geq 2$ , of fixed eccentricity...

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