Results 61 to 70 of about 105,780 (179)

Extensions of theorems of Rattray and Makeev

, 2012
We consider extensions of the Rattray theorem and two Makeev's theorems, showing that they hold for several maps, measures, or functions simultaneously, when we consider orthonormal $k$-frames in $\R^n$ instead of orthonormal basis (full frames).
Blagojević, Pavle, Karasev, Roman
core  

An Application of the Browder-Minty Theorem in a Problem of Partial Differential Equations

REMAT, 2019
In this work, we will show existence of weak solution for a semilinear elliptic problem using as main tool the Browder-Minty Theorem. First, we will make a brief introduction about basic theory of the Sobolev Spaces to support our study and provide ...
Westher Manricky Bernardes Fortunato, Dassael Fabricio dos Reis Santos   +1 more
doaj   +1 more source

Analytic Classes on Subframe and Expanded Disk and the Differential Operator in Polydisk

Journal of Inequalities and Applications, 2009
We introduce and study new analytic classes on subframe and expanded disk and give complete description of their traces on the unit disk. Sharp embedding theorems and various new estimates concerning differential operator in polydisk also will be ...
Mihić OliveraR, Shamoyan RomiF
doaj  

Some Results of Fixed Point and Representation Theorems on Weighted Partial Metric Spaces

Journal of Mathematics
In this paper, we introduce the concept of weighted partial metric spaces by using the generalized weight function ω. Also, we obtain correspondence between dislocated metrics and weighted partial metrics, which extends the relations of (weak) partial ...
Yaoqiang Wu
doaj   +1 more source

Embedding Theorems for Flexible Varieties

Michigan Mathematical Journal
15 pages.
openaire   +3 more sources

Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities

Boundary Value Problems
In this paper, we prove the trace theorems in the setting of Riesz potential operator for Herz-Morrey spaces and present some examples to illustrate the optimality of certain parametric conditions.
Abdul Hamid Ganie, Ghada Ali Basendwah, Babar Sultan, Najla M. Aloraini, Ioan-Lucian Popa   +4 more
doaj   +1 more source

Real interpolation with logarithmic functors

Journal of Inequalities and Applications, 2002
We present a real interpolation method involving broken-logarithmic functors. We obtain a variety of interpolation theorems for quasilinear operators on quasi-Banach spaces, including limiting cases.
Opic Bohumír, Pick Luboš, Evans WD   +2 more
doaj  

Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications

Journal of Function Spaces and Applications, 2012
The embedding theorems in weighted Besov-Lions type spaces 𝐵𝑙,𝑠𝑝,𝑞,𝛾 (Ω;𝐸0,𝐸) in which 𝐸0,𝐸 are two Banach spaces and 𝐸0⊂𝐸 are studied. The most regular class of interpolation space 𝐸𝛼 between 𝐸0 and E is found such that the mixed differential operator ...
Veli Shakhmurov
doaj   +1 more source

Modulation Spaces with Variable Smoothness and Integrability

Mathematics
This paper introduces modulation spaces with variable smoothness and integrability, defined via frequency-uniform decomposition operators and mixed Lebesgue-sequence spaces.
Hua Zhu, Lin Tang
doaj   +1 more source

Zippin’s Embedding Theorem

, 2010
A deep result of Per Enflo [E] asserts that there exists a separable Banach space without a Schauder basis. On the other hand, by Theorem 1.8, every separable Banach space embeds into a Banach space with a Schauder basis. An old problem in Banach Space Theory (see [LT, Problem 1.b.16]) asked whether every space X with separable dual is isomorphic to a ...
openaire   +2 more sources