Results 101 to 110 of about 4,581,583 (267)

An optimal lower bound in fractional spectral geometry for planar sets with topological constraints

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We prove a lower bound on the first eigenvalue of the fractional Dirichlet–Laplacian of order s$s$ on planar open sets, in terms of their inradius and topology. The result is optimal, in many respects. In particular, we recover a classical result proved independently by Croke, Osserman, and Taylor, in the limit as s$s$ goes to 1.
Francesca Bianchi, Lorenzo Brasco
wiley   +1 more source

The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces

Cauchy: Jurnal Matematika Murni dan Aplikasi
The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces ...
Rizky Aziz Syaifudin, Corina Karim, Marjono Marjono, Hairur Rahman   +3 more
doaj   +1 more source

Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials

, 2020
We establish the boundedness of some Schrodinger type operators on local generalized Morrey spaces related to certain nonnegative potentials belonging to the reverse Holder class.
V. Guliyev, R. V. Guliyev, M. Omarova, M. Ragusa   +3 more
semanticscholar   +1 more source

Poisson equations and Morrey spaces

Journal of Mathematical Analysis and Applications, 1992
< i. < n. (For the precise statement see Section 1). The solution we consider is a very weak one introduced in [LSW] because in general the Dirichlet problem for Eq. (*) does not have a weak (variational) solution under our assumption onf. The purpose of our work is to study the regularity properties of the solu- tion as the parameter A increases from ...
openaire   +3 more sources

On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces.
Zh.Zh. Baituyakova
doaj  

Sobolev Embedding Theorem for the Sobolev-Morrey spaces

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj  

Hardy-Littlewood-Sobolev Inequalities on p-Adic Central Morrey Spaces

Journal of Function Spaces, 2015
We establish the Hardy-Littlewood-Sobolev inequalities on p-adic central Morrey spaces. Furthermore, we obtain the λ-central BMO estimates for commutators of p-adic Riesz potential on p-adic central Morrey spaces.
Qing Yan Wu, Zun Wei Fu
doaj   +1 more source

On the identity of Morrey-Calkin and Schauder-Sobolev spaces [PDF]

, 1956
P. Szeptycki
openalex   +1 more source

The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation [PDF]

, 1995
Hideo Kozono, Masao Yamazaki
openalex   +1 more source

Introduction to Morrey spaces

, 2023
The present informal set of notes covers the material that has been presented by the author in a series of lectures for the Doctoral School in Mathematics of the Southern Federal State University of Rostov-on-Don in the Fall of 2020 and that develops from the first part of the notes that collect the material of the lectures of the author at the ...
openaire   +2 more sources