The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On automatic boundedness of Nemytskiĭ set-valued operators”

The module of vector-valued modular forms is Cohen-Macaulay

Richard Gottesman (2020)

Czechoslovak Mathematical Journal

Similarity:

Let H denote a finite index subgroup of the modular group Γ and let ρ denote a finite-dimensional complex representation of H . Let M ( ρ ) denote the collection of holomorphic vector-valued modular forms for ρ and let M ( H ) denote the collection of modular forms on H . Then M ( ρ ) is a -graded M ( H ) -module. It has been proven that M ( ρ ) may not be projective as a M ( H ) -module. We prove that M ( ρ ) is Cohen-Macaulay as a M ( H ) -module. We also explain how to apply this result to prove that if M ( H ) is a polynomial ring, then...

Direct summands of Goldie extending elements in modular lattices

Rupal Shroff (2022)

Mathematica Bohemica

Similarity:

In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element a of a lattice L with 0 is said to be a Goldie extending element if and only if for every b a there exists a direct summand c of a such that b c is essential in both b and c . Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.

Generalized divisor problem for new forms of higher level

Krishnarjun Krishnamoorthy (2022)

Czechoslovak Mathematical Journal

Similarity:

Suppose that f is a primitive Hecke eigenform or a Mass cusp form for Γ 0 ( N ) with normalized eigenvalues λ f ( n ) and let X > 1 be a real number. We consider the sum 𝒮 k ( X ) : = n < X n = n 1 , n 2 , ... , n k λ f ( n 1 ) λ f ( n 2 ) ... λ f ( n k ) and show that 𝒮 k ( X ) f , ϵ X 1 - 3 / ( 2 ( k + 3 ) ) + ϵ for every k 1 and ϵ > 0 . The same problem was considered for the case N = 1 , that is for the full modular group in Lü (2012) and Kanemitsu et al. (2002). We consider the problem in a more general setting and obtain bounds which are better than those obtained by the classical result of Landau (1915) for k 5 . Since the result is valid...

Selivanovski hard sets are hard

Janusz Pawlikowski (2015)

Fundamenta Mathematicae

Similarity:

Let H Z 2 ω . For n ≥ 2, we prove that if Selivanovski measurable functions from 2 ω to Z give as preimages of H all Σₙ¹ subsets of 2 ω , then so do continuous injections.

Group algebras whose groups of normalized units have exponent 4

Victor Bovdi, Mohammed Salim (2018)

Czechoslovak Mathematical Journal

Similarity:

We give a full description of locally finite 2 -groups G such that the normalized group of units of the group algebra F G over a field F of characteristic 2 has exponent 4 .

Self-intersection of the relative dualizing sheaf on modular curves X 1 ( N )

Hartwig Mayer (2014)

Journal de Théorie des Nombres de Bordeaux

Similarity:

Let N be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than 4 . Our main theorem is an asymptotic formula solely in terms of N for the stable arithmetic self-intersection number of the relative dualizing sheaf for modular curves X 1 ( N ) / . From our main theorem we obtain an asymptotic formula for the stable Faltings height of the Jacobian J 1 ( N ) / of X 1 ( N ) / , and, for sufficiently large N , an effective version of Bogomolov’s conjecture for X 1 ( N ) / . ...

Weight reduction for cohomological mod p modular forms over imaginary quadratic fields

Adam Mohamed (2014)

Publications mathématiques de Besançon

Similarity:

Let F be an imaginary quadratic field and 𝒪 its ring of integers. Let 𝔫 𝒪 be a non-zero ideal and let p &gt; 5 be a rational inert prime in F and coprime with 𝔫 . Let V be an irreducible finite dimensional representation of 𝔽 ¯ p [ GL 2 ( 𝔽 p 2 ) ] . We establish that a system of Hecke eigenvalues appearing in the cohomology with coefficients in V already lives in the cohomology with coefficients in 𝔽 ¯ p d e t e for some e 0 ; except possibly in some few cases.

Some properties of algebras of real-valued measurable functions

Ali Akbar Estaji, Ahmad Mahmoudi Darghadam (2023)

Archivum Mathematicum

Similarity:

Let M ( X , 𝒜 ) ( M * ( X , 𝒜 ) ) be the f -ring of all (bounded) real-measurable functions on a T -measurable space ( X , 𝒜 ) , let M K ( X , 𝒜 ) be the family of all f M ( X , 𝒜 ) such that coz ( f ) is compact, and let M ( X , 𝒜 ) be all f M ( X , 𝒜 ) that { x X : | f ( x ) | 1 n } is compact for any n . We introduce realcompact subrings of M ( X , 𝒜 ) , we show that M * ( X , 𝒜 ) is a realcompact subring of M ( X , 𝒜 ) , and also M ( X , 𝒜 ) is a realcompact if and only if ( X , 𝒜 ) is a compact measurable space. For every nonzero real Riesz map ϕ : M ( X , 𝒜 ) , we prove that there is an element x 0 X such that ϕ ( f ) = f ( x 0 ) for every f M ( X , 𝒜 ) if ( X , 𝒜 ) is a compact measurable space....

The boundedness of two classes of integral operators

Xin Wang, Ming-Sheng Liu (2021)

Czechoslovak Mathematical Journal

Similarity:

The aim of this paper is to characterize the L p - L q boundedness of two classes of integral operators from L p ( 𝒰 , d V α ) to L q ( 𝒰 , d V β ) in terms of the parameters a , b , c , p , q and α , β , where 𝒰 is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in C. Liu, Y. Liu, P. Hu, L. Zhou (2019).

Goldie extending elements in modular lattices

Shriram K. Nimbhorkar, Rupal C. Shroff (2017)

Mathematica Bohemica

Similarity:

The concept of a Goldie extending module is generalized to a Goldie extending element in a lattice. An element a of a lattice L with 0 is said to be a Goldie extending element if and only if for every b a there exists a direct summand c of a such that b c is essential in both b and c . Some properties of such elements are obtained in the context of modular lattices. We give a necessary condition for the direct sum of Goldie extending elements to be Goldie extending. Some characterizations...

The Young Measure Representation for Weak Cluster Points of Sequences in M-spaces of Measurable Functions

Hôǹg Thái Nguyêñ, Dariusz Pączka (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

Let ⟨X,Y⟩ be a duality pair of M-spaces X,Y of measurable functions from Ω ⊂ ℝ ⁿ into d . The paper deals with Y-weak cluster points ϕ̅ of the sequence ϕ ( · , z j ( · ) ) in X, where z j : Ω m is measurable for j ∈ ℕ and ϕ : Ω × m d is a Carathéodory function. We obtain general sufficient conditions, under which, for some negligible set A ϕ , the integral I ( ϕ , ν x ) : = m ϕ ( x , λ ) d ν x ( λ ) exists for x Ω A ϕ and ϕ ̅ ( x ) = I ( ϕ , ν x ) on Ω A ϕ , where ν = ν x x Ω is a measurable-dependent family of Radon probability measures on m .

An interpolatory estimate for the UMD-valued directional Haar projection

Richard Lechner

Similarity:

We prove an interpolatory estimate linking the directional Haar projection P ( ε ) to the Riesz transform in the context of Bochner-Lebesgue spaces L p ( ; X ) , 1 < p < ∞, provided X is a UMD-space. If ε i = 1 , the result is the inequality | | P ( ε ) u | | L p ( ; X ) C | | u | | L p ( ; X ) 1 / | | R i u | | L p ( ; X ) 1 - 1 / , (1) where the constant C depends only on n, p, the UMD-constant of X and the Rademacher type of L p ( ; X ) . In order to obtain the interpolatory result (1) we analyze stripe operators S λ , λ ≥ 0, which are used as basic building blocks to dominate the directional Haar projection....