Maqola

On Estimates for Maximal Operators Associated with Singular Surfaces

S. E. UsmanovSharof Rashidov Samarkand State University, 140104, Samarkand, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Annotatsiya

The paper deals with boundedness problem for maximal operators associated with singular surfaces given by parametric equations in $$\mathbb{R}^{3}.$$ We investigate boundedness of these operators in the space of integrable functions with degree $$p$$ . Also, it is found the exact value of the boundedness exponent of maximal operators.

Mavzular

Holomorphic and Operator Theory Advanced Harmonic Analysis Research Spectral Theory in Mathematical Physics

Identifikatorlar

DOI: 10.1134/s1995080224600146

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